Relevant bibliographies by topics / Quantum Field Theory in curved space-time

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  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Quantum Field Theory in curved space-time'

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Published: 4 June 2021
Last updated: 18 February 2022

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Journal articles on the topic "Quantum Field Theory in curved space-time"

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Keller, Ole, and Lee M. Hively. "Electrodynamics in curved space-time: Free-space longitudinal wave propagation." Physics Essays 32, no. 3 (September 11, 2019): 282–91. http://dx.doi.org/10.4006/0836-1398-32.3.282.

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Jiménez and Maroto [Phys. Rev. D 83, 023514 (2011)] predicted free-space, longitudinal electrodynamic waves in curved space-time, if the Lorenz condition is relaxed. A general-relativistic extension of Woodside’s electrodynamics [Am. J. Phys. 77, 438 (2009)] includes a dynamical, scalar field in both the potential- and electric/magnetic-field formulations without mixing the two. We formulate a longitudinal-wave theory, eliminating curvature polarization, magnetization density, and scalar field in favor of the electric/magnetic fields and the metric tensor. We obtain a wave equation for the longitudinal electric field for a spatially flat, expanding universe with a scale factor. This work is important, because: (i) the scalar- and longitudinal-fields do not cancel, as in classical quantum electrodynamics; and (ii) this new approach provides a first-principles path to an extended quantum theory that includes acceleration and gravity.
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Folacci, A. "Quantum field theory ofp‐forms in curved space‐time." Journal of Mathematical Physics 32, no. 10 (October 1991): 2813–27. http://dx.doi.org/10.1063/1.529072.

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Audretsch, J�rgen. "Optical theorem in curved space-time quantum field theory." International Journal of Theoretical Physics 28, no. 9 (September 1989): 957–66. http://dx.doi.org/10.1007/bf00670341.

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KALINOWSKI, M. W., and W. PIECHOCKI. "GEOMETRIC QUANTIZATION OF FIELD THEORY ON CURVED SPACE–TIME." International Journal of Modern Physics A 14, no. 07 (March 20, 1999): 1087–110. http://dx.doi.org/10.1142/s0217751x99000543.

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A symplectic structure of classical field theory and its application to the canonical geometric quantization procedure are presented. The developed formalism can be treated in two ways: as a prequantization procedure in the usual sense or as a quantization procedure in a stochastic quantum mechanics approach on a phase space.
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Laciana, Carlos E. "Quantum field theory in curved space-time as thermo field dynamics." General Relativity and Gravitation 26, no. 4 (April 1994): 363–78. http://dx.doi.org/10.1007/bf02105227.

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BREVIK, IVER H., HERNÁN OCAMPO, and SERGEI ODINTSOV. "ε-EXPANSION IN QUANTUM FIELD THEORY IN CURVED SPACE–TIME." International Journal of Modern Physics A 13, no. 16 (June 30, 1998): 2857–74. http://dx.doi.org/10.1142/s0217751x98001451.

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We discuss ε-expansion in curved space–time for asymptotically free and asymptotically nonfree theories. The existence of stable and unstable fixed points is investigated for fϕ4 theory and SU(2) gauge theory. It is shown that ε-expansion maybe compatible with aysmptotic freedom on special solutions of the RG equations in a special ase (supersymmetric theory). Using ε-expansion RG technique, the effective Lagrangian for covariantly constant gauge SU(2) field and effective potential for gauged NJL model are found in (4-ε)-dimensional curved space (in linear curvature approximation). The curvature-induced phase transitions from symmetric phase to asymmetric phase (chromomagnetic vacuum and chiral symmetry broken phase, respectively) are discussed for the above two models.
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Ipek, Selman, Mohammad Abedi, and Ariel Caticha. "Entropic dynamics: reconstructing quantum field theory in curved space-time." Classical and Quantum Gravity 36, no. 20 (September 27, 2019): 205013. http://dx.doi.org/10.1088/1361-6382/ab436c.

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Gass, Richard, and Max Dresden. "Puzzling Aspect of Quantum Field Theory in Curved Space-Time." Physical Review Letters 54, no. 21 (May 27, 1985): 2281–84. http://dx.doi.org/10.1103/physrevlett.54.2281.

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Gass, Richard, and Max Dresden. "Puzzling Aspect of Quantum Field Theory in Curved Space-Time." Physical Review Letters 56, no. 12 (March 24, 1986): 1316. http://dx.doi.org/10.1103/physrevlett.56.1316.

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HOLLANDS, STEFAN, and ROBERT M. WALD. "QUANTUM FIELD THEORY IN CURVED SPACE–TIME, THE OPERATOR PRODUCT EXPANSION, AND DARK ENERGY." International Journal of Modern Physics D 17, no. 13n14 (December 2008): 2607–15. http://dx.doi.org/10.1142/s021827180801414x.

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To make sense of quantum field theory in an arbitrary (globally hyperbolic) curved space–time, the theory must be formulated in a local and covariant manner in terms of locally measureable field observables. Since a generic curved space–time does not possess symmetries or a unique notion of a vacuum state, the theory also must be formulated in a manner that does not require symmetries or a preferred notion of a "vacuum state" and "particles". We propose such a formulation of quantum field theory, wherein the operator product expansion (OPE) of the quantum fields is elevated to a fundamental status, and the quantum field theory is viewed as being defined by its OPE. Since the OPE coefficients may be better behaved than any quantities having to do with states, we suggest that it may be possible to perturbatively construct the OPE coefficients — and, thus, the quantum field theory. By contrast, ground/vacuum states — in space–times, such as Minkowski space–time, where they may be defined — cannot vary analytically with the parameters of the theory. We argue that this implies that composite fields may acquire nonvanishing vacuum state expectation values due to nonperturbative effects. We speculate that this could account for the existence of a nonvanishing vacuum expectation value of the stress-energy tensor of a quantum field occurring at a scale much smaller than the natural scales of the theory.
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Dissertations / Theses on the topic "Quantum Field Theory in curved space-time"

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Stanley, Ross James. "Quantum propagation and initial value problems in curved space." Thesis, Swansea University, 2012. https://cronfa.swan.ac.uk/Record/cronfa42356.

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Quantum field theory is studied within the semi-classical gravity approximation. The quantum correction to the propagation of both photons and gravitons in a general curved space background is calculated showing a non-trivial spacetime refractive index as well as a dynamical dressing (or undressing) of the particle state. The initial interacting particle's 'dressing', the cloud of virtual particles that surrounds it, may receive corrections from an infinite number of modes even for flat space. When gravitational tidal effects remove this dressing, squeezing it back into the bare particle, this leads to an amplification in a way consistent with unitarity. There is a possible shift discovered in the graviton wavefront velocity related to higher order curvature couplings, although in this calculation there is also a logarithmic divergence at high frequencies, leading to a breakdown of the perturbative approximation. Next we consider initial value problems and the stability of de Sitter space. Here the self decay of a massive scalar in de Sitter space is proposed to lead to a particle explosion where divergent growth of the field expectation value is observed. Directly investigating this divergent field expectation value a one loop calculation is completed for a massive scalar particle in 3-dimensional de Sitter space. This result has characteristic secular growth that can be summed into a rapidly decaying exponential by using the dynamical renormalisation group. Finally the evolution of two point functions is studied, by numerically solving their equations of motion using the Kaydanoff-Baym equations in 2-dimensional de Sitter space. Here we see a decay of the vacuum state due to the coupling. This appears to be related to the choice of initial conditions be chosen to match the free field vacuum plus non-interacting particles. This choice is made inappropriate by the dynamical dressing of the bare particle states.
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Cant, John Fraser. "Particle detectors in the theory of quantum fields on curved spacetimes." Thesis, University of British Columbia, 1988. http://hdl.handle.net/2429/28635.

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This work discusses aspects of a fundamental problem in the theory of quantum fields on curved spacetimes - that of giving physical meaning to the particle representations of the theory. In particular, the response of model particle detectors is analysed in detail. Unruh (1976) first introduced the idea of a model particle detector in order to give an operational definition to particles. He found that even in flat spacetime, the excitation of a particle detector does not necessarily correspond to the presence of an energy carrier - an accelerating detector will excite in response to the zero-energy state of the Minkowski vacuum. The central question I consider in this work Is - where does the energy for the excitation of the accelerating detector come from? The accepted response has been that the accelerating force provides the energy. Evaluating the energy carried by the (conformally-invariant massless scalar) field after the Interaction with the detector, however, I find that the detector excitation is compensated by an equal but opposite emission of negative energy. This result suggests that there may be states of lesser energy than that of the Minkowski vacuum. To resolve this paradox, I argue that the emission of a detector following a more realistic trajectory than that of constant acceleration - one that starts and finishes in inertial motion - will in total be positive, although during periods of constant acceleration the detector will still emit negative energy. The Minkowski vacuum retains its status as the field state of lowest energy. The second question I consider is' the response of Unruh's detector in curved spacetime - is it possible to use such a detector to measure the energy carried by the field? In the particular case of a detector following a Killing trajectory, I find that there is a response to the energy of the field, but that there is also an inherent 'noise'. In a two dimensional model spacetime, I show that this 'noise' depends on the detector's acceleration and on the curvature of the spacetime, thereby encompassing previous results of Unruh (1976) and of Gibbons & Hawking (1977).
Science, Faculty of
Physics and Astronomy, Department of
Graduate
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Walker, W. R. "Particle and energy creation in curved space ?quantum field theory." Thesis, University of Newcastle Upon Tyne, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.354407.

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Huish, Gary John. "Renormalization of interacting quantum field theory in three dimensional curved space." Thesis, University of Newcastle Upon Tyne, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.240852.

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Dang, Nguyen Viet. "Renormalization of quantum field theory on curved space-times, a causal approach." Paris 7, 2013. http://www.theses.fr/2013PA077188.

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Le sujet de la thèse est la construction d'une théorie perturbative des champs quantiques en interaction sur un espace-temps courbe, suivant un point de vue conçu par Stueckelberg et Bogoliubov et developpé par Epstein-Glaser sur l'espace de Minkowski plat. En 2000 un progrès important fut réalisé par Brunetti et Fredenhagen qui réussirent à étendre la théorie d'Epstein-Glaser en exploitant le point de vue développé par Radzikowski pour definir les états quantiques sur un espace-temps courbe en terme d'ensembles de front d'onde. Ces résultats furent ultérieurement généralisés par Fredenhagen, Brunetti, Hollands, Wald, Rejzner, etc. Aux théories de Yang-Mills et de la gravitation. Cependant, même pour des théories sans invariance de jauge, de nombreux détails mathématiques sont restés inexplorés et parfois sans vérification. Dans cette thèse, on construit d'une façon totalement rigoureuse cette théorie dans le cas des champs sans invariance de jauge. Dans mon travail, j' ai revisité complètement cette théorie, résolvant au passage plusieurs questions laissées en suspens, incorporant de nombreux résultats nouveaux autour de ce programme et, le cas échéant, apportant des détails beaucoup plus précis sur les contre-termes dans le processus de renormalisation, une compréhension plus approfondie des ambiguïtés et une description géométrique des ensembles de front d'onde. L'ensemble de la thèse utilise un large éventail de techniques mathématiques : de la géométrie différentielle et pseudo riemannienne, des techniques d'analyse micro-locale et de géométrie symplectique pour les fronts d'onde, de l'analyse fonctionnelle, des résultats fins de la théorie des distributions
The subject of the thesis is the construction of a perturbative quantum theory of interacting fields on a curved space-time, following a point of view pioneered by Stueckelberg and Bogoliubov and developed by Epstein-Glaser on the flat Minkowski space-time. In 2000 a breakthrough was done by Brunetti and Fredenhagen who were able to extend the Epstein-Glaser theory by exploiting the point of view developed by Radzikowski to define quantum states on a curved space-time in terms of wave-front sets. These results were further extended by Fredenhagen, Brunetti, Hollands, Wald, Rejzner, etc. To Yang-Mills fields and the gravitation. However, even for theories without gauge invariance, many mathematical details were left unexplored and unquestioned. The task of Viet was precisely to derive fully rigorously this theory in the case there is no gauge invariance. In my work, I propose a complete review of the result, solving numerous questions, adding many new results around this program and, eventually, giving more precise details on the counterterms and ambiguities in the renormalization process, and a deeper understanding of the geometry of the wave front set of the n-point functions. All this thesis uses various mathematical techniques: differential and pseudo Riemannian geometry, microlocal analysis and the symplectic geometry of wavefront sets, functional analysis, fine results from the theory of distributions, Hopf algebras, etc
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Uhlemann, Christoph Frank [Verfasser], and Thorsten [Akademischer Betreuer] Ohl. "Holographic Description of Curved-Space Quantum Field Theory and Gravity / Christoph Frank Uhlemann. Betreuer: Thorsten Ohl." Würzburg : Universitätsbibliothek der Universität Würzburg, 2012. http://d-nb.info/1029426376/34.

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Vassura, Edoardo. "Path integrals on curved space and the worldline formalism." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2017. http://amslaurea.unibo.it/13448/.

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Lo scopo primario di questa tesi e' l’analisi di una nuova procedura di regolarizzazione di path integral su spazi curvi, presentata inizialmente dal fisico J. Guven e applicata al caso di una teoria di campo scalare , ma mai utilizzata per svolgere ulteriori calcoli espliciti. Questa procedura, se corretta, permetterebbe di utilizzare il formalismo di path integral su spazi piatti anche nel caso in cui la varieta' di background risulti localmente curva. Tale procedura trasforma di fatto un modello sigma non lineare in un modello efficace lineare, permettando pertanto di aggirare le usuali complicazioni dovute alla generalizzazione di path integral. Una prova diretta della correttezza della procedura di Guven sembra mancare in letteratura: per questo motivo in questa tesi verranno eseguiti vari test volti a tale verifica. Alcuni errori sono stati riscontrati nella proposta iniziale, tra i quali un termine di potenziale che risulta essere non corretto. Ad ogni modo siamo stati in grado di identificare un potenziale che permetta di riprodurre correttamente i primi due coefficienti dell’espansione in serie dell’heat kernel. Utilizzando lo stesso metodo abbiamo poi cercato di ottenere il successivo coefficiente dell’espansione (cubico in termini di curvatura): il risultato ottenuto non risulta essere corretto, cosa che segnala il fallimento di tale metodo ad ordini superiori. Visti tali risultati preliminari, siamo stati indotti a considerare una classe speciale di spazi curvi, quella degli spazi massimamente simmetrici, trovando invece che su tali spazi la procedura di Guven riproduce i risultati corretti. Come verifica abbiamo ottenuto la parte diagonale dell’heat kernel, che ́ stata poi utilizzata per riprodurre l’anomalia di traccia di tipo A per campi scalari in dimensioni arbitrarie fino a D = 12. Questi risultati sono in accordo con quelli attesi. Viene pertanto fornita una prova della validita' di tale procedura su questi spazi.
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Sousa, Mikael Souto Maior de. "Flutuações quânticas fermiônicas induzidas por um tubo magnético no espaço-tempo de uma corda cósmica." Universidade Federal da Paraíba, 2017. http://tede.biblioteca.ufpb.br:8080/handle/tede/9501.

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In this work, we consider a charged massive fermionic quantum field in the idealized cosmic string spacetime and in the presence of a magnetic field confined in a cylindrical tube of finite radius. Three distinct configurations for the magnetic fields are taken into account: (i) a cylindrical shell of radius a, (ii) a magnetic field proportional to 1/r and (iii) a constant magnetic field. In these three cases, the axis of the infinitely long tube of radius a coincides with the cosmic string. Our main objectives in this paper are to analyze vacuum expected values (VEVs) of the current density, jP, fermionic condensate (FC) e and the VEV of the fermionic energy-momentum tensor, Ti". In order to do that, we explicitly construct the complete set of normalized wave-functions for each configuration of magnetic field. We show that in the region outside the tube, the current density, the FC and the VEV of the energy-momentum tensor are decomposed into two parts: the first ones correspond to the zero-thickness magnetic flux contributions, and the seconds are induced by the non-trivial structure of the magnetic field, named core-induced contributions. The latter present specific forms depending on the magnetic field configuration considered. We also show that the VEV of the energy-momentum tensor is diagonal, obeys the conservation condition and its trace is expressed in terms of the fermionic condensate.
Nesta Tese, consideramos urn campo fermiônico massivo e carregado no espaço-tempo de uma corda cósmica ideal na presença de um campo magnético confinado em um tubo cilindrico de raio finito a. Levamos em conta três configurações para o campo magnético: (i) uma casca cilindrica de raio a, (ii) um campo magnetico proporcional a 1/r e (iii) urn campo magnetico constante. Nos três casos, o eixo de simetria da corda cósmica coincide corn o eixo de simetria do tubo cilindrico de campo magnetico, dispostos ao longo do eixo z. Nossos principais objetivos nesta Tese sao analisar os valores esperados no yam° (VEV) da densidade de corrente, ji", do condensado fermionico (FC) e o VEV do tensor energia-momento (TEM), Ti". Para isto, construfmos urn conjunto completo de fungoes de onda de Dirac normalizadas para cada configuragao de campo magnetic° e mostramos que na regiao fora do tubo, a densidade de corrente, o CF e o VEV do TEM sao decompostos como a soma de duas partes. A primeira corresponde a contribuigao da linha de fluxo magnetic° que corre ao longo da corda cOsmica ideal, e a segunda contribuigao é induzida devido a estrutura nao trivial de campo magnetic°. Mostramos tambem que o VEV do tensor energia-momento é diagonal, obedece a condigao de conservagao e que seu trago é expresso ern termos do condensado fermionico.
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Kotecha, Vinay. "Solitons on lattices and curved space-time." Thesis, Durham University, 2001. http://etheses.dur.ac.uk/3845/.

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This thesis is concerned with solitons (solutions of certain nonlinear partial differential equations) in certain cases when the underlying space is either a lattice or curved. Chapter 2 of the thesis is concerned with the outcome of collisions between a kink (a 1-dimensional soliton) and an antikink for certain topological discrete (TD) systems. The systems considered are the TD sine-Gordon and the TD ø(^4) For the TD sine-Gordon system it is found that the kink can support an internal shape mode which plays an important role during the collisions. In particular, this mode can be excited during collisions and this leads to spectacular resonance effects. The outcome of any particular collision has sensitive dependence on the initial conditions and could be either a trapped kink-antikink state, a "reflection" or a "transmission”. Such resonance effects are already known to exist for the conventional discrete ø(^4) system, and the TD ø(^4) system is no different, though the results for the two are not entirely similar. Chapter 3 considers the question of the existence of explicit travelling kink solutions for lattice systems. In particular, an expression for such a solution for the integrable lattice sine-Gordon system is derived. In Chapter 4, by reducing the Yang-Mills equations on the (2 + 2)-dimensional ultrahyperbolic space-time, an integrable Yang-Mills-Higgs system on (2 + 1) dimensional de Sitter space-time is derived. It represents the curved space-time version of the Bogomolny equations for monopoles on R(^3) . Using twister methods, various explicit solutions with gauge groups U(l) and SU(2) are constructed. A multi-solution SU(2) solution is also presented.
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Cavalcante, Everton. "Aspectos geométricos da molécula de fulereno em referenciais não-inerciais." Universidade Federal da Paraíba, 2015. http://tede.biblioteca.ufpb.br:8080/handle/tede/9557.

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In this thesis we study the dynamics of charge carriers, and the electronic properties, of the C60 fullerene molecule. Characterizing it by a geometric bias. In inertial reference systems and when we have your material under rotation content. Initially we discussed the scientific advent of carbon allotropes, and the importance of modelling its derivates at low energies. We show that at low energies, the graphene - the two-dimensional carbon allotrope form - can be described for a non-massive theory of free fermions. At a second moment, we extended the nonmassive free fermions theory for the C60 molecule. Assuming the hexagonal graphene network can be entered in fullerene when we introduce topological defects. A brief study of topological defects in condensed matter was done. And soon after, we made a description these defects via a non-Euclidean geometry. Showing how the charge carriers in the network see the defects like gauge fields. Then we began to expose the results of this thesis. First we assume the fullerene by a two-dimensional spherical metric with defects, containing a fictitious t’Hooft-Polyakov monopole in its center. TheC60 is still subjected to the action of an Aharonov-Bohm flux arising of a magnetic wire running through its poles. So we get the spectrum, and the prediction of a persistent current in the molecule. Finally we return to the analysis of the molecule, now with your content of matter under rotation. For this, we studied a metric Gödel-type with spherical symmetry. We discussed the problem of causality and obtain the spectrum and the persistent current in terms of the vorticity (W) of spacetime.
Nesta tese estudamos a dinâmica de portadores de carga, e as propriedades eletrônicas, na molécula de fulerenoC60. Caracterizando-a por um viés geométrico. Tanto em sistemas de referência inercial, como quando temos seu conteúdo de matéria sob rotação. Inicialmente abordamos o advento científico das formas alotrópicas do carbono e a importância da modelagem a baixas energias dos seus derivados. Onde mostramos que no limite de baixas energias, o grafeno - que trata-se da forma alótropica bidimensional do carbono - pode ser descrito por uma teoria de férmions livres sem massa. Num segundo momento estendemos a teoria de férmions não massivos para a molécula de C60. Assumindo que a rede hexagonal do grafeno pode inscrever o C60 ao introduzirmos alguns defeitos topológicos. Um breve estudo sobre os defeitos topológicos na matéria condensada foi feito. Onde, logo em seguida, partimos para uma descrição de tais defeitos via uma geometria não-euclidiana. Mostrando como os portadores de carga no meio enxergam os defeitos como campos de gauge. Em seguida começamos a expor os resultados desta tese. Primeiramente assumimos tratar o fulereno por uma métrica de uma esfera bidimensional com defeitos, e contendo um monopolo de t’Hooft-Polyakov fictício em seu centro. O C60 é ainda submetido a ação de um fluxo de Aharonov-Bohm advindo de uma corda magnética quiral transpassando seus polos. Obtemos assim o espectro e a predição de uma corrente persistente na molécula. Por fim retomamos a análise da molécula, agora com seu conteúdo de matéria sob rotação. Para isso assumimos tratar o fulereno por uma métrica do tipo Gödel com simetria esférica. Discutimos o problema da causalidade e obtemos espectro e corrente persistente em termos da vorticidade (W) do espaço-tempo.
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Books on the topic "Quantum Field Theory in curved space-time"

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NATO Advanced Research Workshop on Quantum Mechanics in Curved Space-Time (1989 Erice, Italy). Quantum mechanics in curved space-time. New York: Plenum Press, 1990.

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Aspects of quantum field theory in curved space-time. Cambridge: Cambridge University Press, 1989.

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Quantum field theory on curved spacetimes: Concepts and mathematical foundations. Dordrecht: Springer, 2009.

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Parker, Leonard Emanuel. Quantum field theory in curved spacetime: Quantized fields and gravity. Cambridge: Cambridge University Press, 2009.

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Buchbinder, I. L. Renormalization group approach to quantum field theory in curved space-time. Bologna: Editrice Compositori, 1989.

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Wald, Robert M. Quantum field theory in curved spacetime and black hole thermodynamics. Chicago: University of Chicago Press, 1994.

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Quantum field theory in curved spacetime and black hole thermodynamics. Chicago: University of Chicago Press, 1994.

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Tocaci, Emil. Field theory, space and energy. București: Editura Științifică și Enciclopedică, 1986.

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Auyang, Sunny Y. How is quantum field theory possible? New York: Oxford University Press, 1995.

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Volosov, I. D. Space-time origination. Sankt-Peterburg: I.D. Volosov, 1993.

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Book chapters on the topic "Quantum Field Theory in curved space-time"

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Reyes Lega, Andrés F. "Quantum Field Theory in Curved Space-Time." In Quantization, Geometry and Noncommutative Structures in Mathematics and Physics, 197–220. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-65427-0_5.

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Lüst, Dieter, and Ward Vleeshouwers. "Quantum Field Theory in Curved Space-Time Backgrounds." In SpringerBriefs in Physics, 55–58. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-10919-6_15.

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Smith, Alexander R. H. "Quantum Field Theory on Curved Spacetimes." In Detectors, Reference Frames, and Time, 9–15. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-11000-0_2.

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Audretsch, Jürgen. "Mutually interacting quantum fields in curved space-times." In Field Theory, Quantum Gravity and Strings II, 68–81. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/3-540-17925-9_30.

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Fradkin, E. S. "Quantum Field Theory for Dynamical Systems with Curved Phase Space." In String Gravity and Physics at the Planck Energy Scale, 521. Dordrecht: Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-009-0237-4_23.

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Bain, Jonathan. "Relativity and Quantum Field Theory." In Space, Time, and Spacetime, 129–46. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-13538-5_5.

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Finster, Felix. "From Discrete Space-Time to Minkowski Space: Basic Mechanisms, Methods and Perspectives." In Quantum Field Theory, 235–59. Basel: Birkhäuser Basel, 2009. http://dx.doi.org/10.1007/978-3-7643-8736-5_14.

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Epstein, Henri. "Remarks on the Anti-de Sitter Space-Time." In Rigorous Quantum Field Theory, 79–93. Basel: Birkhäuser Basel, 2007. http://dx.doi.org/10.1007/978-3-7643-7434-1_7.

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Roberts, J. E. "The Cohomology and Homology of Quantum Field Theory." In Quantum Fields and Quantum Space Time, 357–68. Boston, MA: Springer US, 1997. http://dx.doi.org/10.1007/978-1-4899-1801-7_17.

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Namsrai, Khavtgain. "Electromagnetic Interactions in Stochastic Space-Time." In Nonlocal Quantum Field Theory and Stochastic Quantum Mechanics, 104–33. Dordrecht: Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-4518-0_3.

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Conference papers on the topic "Quantum Field Theory in curved space-time"

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Camp, Paul J., and John L. Safko. "ON THE NATURE OF THE TRANSITION IN QUANTUM FIELD THEORY FROM FLAT TO CURVED SPACE-TIME." In Proceedings of the International Conference on Fundamental Aspects of Quantum Theory — to Celebrate 30 Years of the Aharonov-Bohm-Effect. WORLD SCIENTIFIC, 1991. http://dx.doi.org/10.1142/9789814439251_0023.

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BODMANN, B. E. J., S. MITTMANN DOS SANTOS, and TH A. J. Maris. "ON NON-ZERO MASS SOLUTIONS IN MASSLESS QUANTUM FIELD THEORY WITH CURVED MOMENTUM SPACE." In Proceedings of the International Workshop. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812811653_0055.

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Kamath, Gopinath. "A calculation of the zeta-function in a quantum field theory in curved space." In Proceedings of the MG14 Meeting on General Relativity. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813226609_0496.

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Krekora, P., Q. Su, and R. Grobe. "Space-time resolved quantum field theory." In Frontiers in Optics. Washington, D.C.: OSA, 2004. http://dx.doi.org/10.1364/fio.2004.ftuh3.

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Yau, Hou-Ying. "Emerged quantum field of a deterministic system with vibrations in space and time." In QUANTUM THEORY: RECONSIDERATION OF FOUNDATIONS 6. AIP, 2012. http://dx.doi.org/10.1063/1.4773175.

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Gazeau, Jean Pierre. "An Introduction to Quantum Field Theory in de Sitter space-time." In COSMOLOGY AND GRAVITATION: XIIth Brazilian School of Cosmololy and Gravitation. AIP, 2007. http://dx.doi.org/10.1063/1.2752481.

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Chaichian, M. "Quantum field theory on noncommutative space-time and its implication on spin-statistics theorem." In Spin-statistics connection and commutation relations. AIP, 2000. http://dx.doi.org/10.1063/1.1337731.

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Chang, H., M. R. Wang, J. Wei, and Z. Wei. "Development of a High-Performance Fluid Infrared Temperature Measurement System." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-86647.

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In this paper, a high-performance fluid infrared temperature measurement system without the need for “radiance correction” through an analysis of liquid fluid properties was proposed based on the Blackbody Radiation Theory and Max Planck’s Quantum Theory. In terms of practical application, the system can be calibrated by a high-precision contact-type thermodetector at a time. Then, the resulting data were fitted to complete a continuous curve to meet the measured temperature variation of the liquid fluid. Accordingly, the precise temperature is measured. A higher pertinence of the system makes it easier for a real-time liquid temperature monitoring with accuracy up to 0.1%. This method can also be extended to other non-contact temperature measurement field.
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Guimarães, Antonio, Diego Aranha, and Edson Borin. "Secure and efficient software implementation of QC-MDPC code-based cryptography." In XX Simpósio em Sistemas Computacionais de Alto Desempenho. Sociedade Brasileira de Computação - SBC, 2019. http://dx.doi.org/10.5753/wscad_estendido.2019.8710.

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The emergence of quantum computers is pushing an unprecedented transition in the public key cryptography field. Conventional algorithms, mostly represented by elliptic curves and RSA, are vulnerable to attacks using quantum computers and need, therefore, to be replaced. Cryptosystems based on error-correcting codes are considered some of the most promising candidates to replace them for encryption schemes. Among the code families, QC-MDPC codes achieve the smallest key sizes while maintaining the desired security properties. Their performance, however, still needs to be greatly improved to reach a competitive level. In this work, we focus on optimizing the performance of QC-MDPC code-based cryptosystems through improvements concerning both their implementations and algorithms. We first present a new enhanced version of QcBits' key encapsulation mechanism, which is a constant time implementation of the Niederreiter cryptosystem using QC-MDPC codes. In this version, we updated the implementation parameters to meet the 128-bit quantum security level, replaced some of the core algorithms avoiding slower instructions, vectorized the entire code using the AVX 512 instruction set extension and introduced some other minor improvements. Comparing with the current state-of-the-art implementation for QC-MDPC codes, the BIKE implementation, our code performs 1.9 times faster when decrypting messages. We then optimize the performance of QC-MDPC code-based cryptosystems through the insertion of a configurable failure rate in their arithmetic procedures. We present constant time algorithms with a configurable failure rate for multiplication and inversion over binary polynomials, the two most expensive subroutines used in QC-MDPC implementations. Using a failure rate negligible compared to the security level (2^{-128}), our multiplication is 2 times faster than the one used in the NTL library on sparse polynomials and 1.6 times faster than a naive constant-time sparse polynomial multiplication. Our inversion algorithm, based on the inversion algorithm of Wu et al., is 2 times faster than the original and 12 times faster than the inversion algorithm of Itoh and Tsujii using the same modulus polynomial (x^{32749} - 1). By inserting these algorithms in our enhanced version of QcBits, we were able to achieve a speedup of 1.9 on the key generation and up to 1.4 on the decryption time. Comparing with BIKE, our final version of QcBits performs the uniform decryption 2.7 times faster. Moreover, the techniques presented in this work can also be applied to BIKE, opening new possibilities for further Improvements.
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Pandey, Vijitashwa. "Quantum Mechanical Perspectives in Reliability Engineering and System Design." In ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/detc2019-98028.

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Abstract Engineering design under uncertainty is an established field. Attempts to extricate the human decision maker from the process generally do not succeed. Surprisingly, even the determination of system parameters and their admissible values needs as many interventional steps from human designers and operators, as the selection of final attributes of the system that the human end user is expected to only interact and be concerned with. In this light, it becomes important to consider the mathematical models that would explain and model the decision making behavior of human beings. Concerningly, this behavior has been seen to violate common sense probability axioms. In this paper, we propose an earnest look at the mathematics of quantum mechanical theory in modeling and manipulating the uncertainties involved in engineering systems. We propose that the state of a system be modeled as a point in an abstract complex vector space as in quantum mechanics. Additionally, at a given point in time it can be interpreted as a superposition of multiple pure states. This change in perspective allows explanation of many commonly observed behaviors, least of which is the inconsistencies in defining what constitutes the failure of a system. We present our approach in the context of reliability engineering as it sees some of the most prevalent use of uncertainty modeling and propagation techniques. However, the implications on design and design theory are also evident. Some motivating examples are provided and directions for future work are identified.
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Reports on the topic "Quantum Field Theory in curved space-time"

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Boulware, D. G. Quantum field theory in spaces with closed time-like curves. [Gott space]. Office of Scientific and Technical Information (OSTI), January 1992. http://dx.doi.org/10.2172/6872973.

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Boulware, D. G. Quantum field theory in spaces with closed time-like curves. Office of Scientific and Technical Information (OSTI), December 1992. http://dx.doi.org/10.2172/10140432.

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