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Relevant bibliographies by topics / Bootstrap conformes

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Academic literature on the topic 'Bootstrap conformes'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Bootstrap conformes"

1

Poland, David, and David Simmons-Duffin. "The conformal bootstrap." Nature Physics 12, no. 6 (2016): 535–39. http://dx.doi.org/10.1038/nphys3761.

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Bao, Ning, and Junyu Liu. "Quantum algorithms for conformal bootstrap." Nuclear Physics B 946 (September 2019): 114702. http://dx.doi.org/10.1016/j.nuclphysb.2019.114702.

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Nakayama, Yu. "Bootstrap experiments on higher dimensional CFTs." International Journal of Modern Physics A 33, no. 07 (2018): 1850036. http://dx.doi.org/10.1142/s0217751x18500367.

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Recent programs on conformal bootstrap suggest an empirical relationship between the existence of nontrivial conformal field theories and nontrivial features such as a kink in the unitarity bound of conformal dimensions in the conformal bootstrap equations. We report the existence of nontrivial kink-like behaviors in the unitarity bound of scalar operators in the adjoint representation of the [Formula: see text] symmetric conformal field theories. They have interesting properties: (1) the kink-like behaviors exist in [Formula: see text] dimensions; (2) the location of kink-like behaviors are w

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Ashrafi, M. "Chiral modular bootstrap." International Journal of Modern Physics A 34, no. 28 (2019): 1950168. http://dx.doi.org/10.1142/s0217751x19501689.

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Using modular bootstrap we show the lightest primary fields of a unitary compact two-dimensional conformal field theory (with [Formula: see text], [Formula: see text]) has a conformal weight [Formula: see text]. This implies that the upper bound on the dimension of the lightest primary fields depends on their spin. In particular if the set of lightest primary fields includes extremal or near extremal states whose spin to dimension ratio [Formula: see text], the corresponding dimension is [Formula: see text]. From AdS/CFT correspondence, we obtain an upper bound on the spectrum of black hole in

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Altshuler, Boris L. "“Old” conformal bootstrap on AdS: O(N) symmetric scalar model." International Journal of Modern Physics A 35, no. 01 (2020): 2050001. http://dx.doi.org/10.1142/s0217751x20500013.

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Bootstrap equations for conformal correlators that mimic the early theory of conformal bootstrap are written down in frames of the AdS/CFT approach. The simplified version of these equations, that may be justified if Schwinger–Keldysh formalism is used in AdS/CFT instead of conventional Feynman–Witten diagrams technique, permits to calculate values of conformal dimensions in the [Formula: see text] symmetric model with conformal or composite Habbard–Stratonovich field.

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Korchemsky, G. P. "Conformal bootstrap for the BFKL pomeron." Nuclear Physics B 550, no. 1-2 (1999): 397–423. http://dx.doi.org/10.1016/s0550-3213(99)00185-6.

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Jackson, Steven, Lauren McGough, and Herman Verlinde. "Conformal bootstrap, universality and gravitational scattering." Nuclear Physics B 901 (December 2015): 382–429. http://dx.doi.org/10.1016/j.nuclphysb.2015.10.013.

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LeClair, André, and Joshua Squires. "Conformal bootstrap for percolation and polymers." Journal of Statistical Mechanics: Theory and Experiment 2018, no. 12 (2018): 123105. http://dx.doi.org/10.1088/1742-5468/aaf10a.

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Kakuto, A. "Note on the Perturbative Conformal Bootstrap." Progress of Theoretical Physics 83, no. 2 (1990): 196–200. http://dx.doi.org/10.1143/ptp.83.196.

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Zamolodchikov, A., and Al Zamolodchikov. "Conformal bootstrap in Liouville field theory." Nuclear Physics B 477, no. 2 (1996): 577–605. http://dx.doi.org/10.1016/0550-3213(96)00351-3.

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Dissertations / Theses on the topic "Bootstrap conformes"

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Hogervorst, Matthijs. "Two studies on conformal and strongly coupled quantum field theories in d>2 dimensions." Thesis, Paris, Ecole normale supérieure, 2015. http://www.theses.fr/2015ENSU0013/document.

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Cette these examine deux aspects des theories conformes des champs (TCC) en d dimensions.Sa premiere parti est dediee aux blocs conformes, des fonctions speciales qui contribuent au developpement en ondes partielles des fonctions a quatre points dans les TCC. On montre que ces blocs admettent un developpement en coordonnees polaires dont les coecients se calculent par une recurrence. Les blocs conformes sont naturellement denis sur le plan complexe : on considere alors leur restriction a l'axe r eel, an de montrer qu'ils obeissent une equation dierentielle sur ce domaine, ce qui mene a un algo

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Meinke, Alexander. "Applications of the Extremal Functional Bootstrap." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/43/43134/tde-26112018-120129/.

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The study of conformal symmetry is motivated through an example in statistical mechanics and then rigorously developed in quantum field theories in general spatial dimensions. In particular, primary fields are introduced as the fundamental objects of such theories and then studied in the formalism of radial quantization. The implications of conformal invariance on the functional form of correlation functions are studied in detail. Conformal blocks are defined and various approaches to their analytical and numerical calculation are presented with a special emphasis on the one-dimensional case.

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Migliaccio, Santiago. "Conformal bootstrap in two-dimensional conformal field theories with with non-diagonal spectrums." Thesis, Université Paris-Saclay (ComUE), 2018. http://www.theses.fr/2018SACLS362.

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La symétrie conforme impose de très fortes contraintes sur les théories quantiques des champs. En deux dimensions, l’algèbre des symétries conformes est infinie, et les théories conformes bidimensionnelles peuvent être complètement résolubles, dans le sens où toutes leurs fonctions de corrélation peuvent être calculées. Ces théories ont un grand domaine d'application, de la théorie des cordes jusqu'aux systèmes critiques en physique statistique, et elles ont été largement étudiées pendant les dernières décennies.Dans cette thèse nous étudions les théories conformes bidimensionnelles dont l’alg

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Lin, Ying-Hsuan. "Conformal Bootstrap in Two Dimensions." Thesis, Harvard University, 2016. http://nrs.harvard.edu/urn-3:HUL.InstRepos:33493283.

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In this dissertation, we study bootstrap constraints on conformal field theories in two dimensions. The first half concerns two-dimensional (4,4) superconformal field theories of central charge c=6, corresponding to nonlinear sigma models on K3 surfaces. The superconformal bootstrap is made possible through a surprising relation between the BPS N=4 superconformal blocks with c=6 and bosonic Virasoro conformal blocks with c=28, and an exact moduli dependence of a certain integrated BPS four-point function. Nontrivial bounds on the non-BPS spectrum in the K3 CFT are obtained as functions of the

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Meltzer, David H. "Topics in the Analytic Conformal Bootstrap." Thesis, Yale University, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10957332.

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<p> In this thesis, we explore analytical methods to study conformal field theories (CFTs) in a general number of spacetime dimensions. We first use the lightcone bootstrap to systematically study correlation functions of scalar operators charged under global symmetries. We then generalize existing techniques in the lightcone bootstrap to study four-point functions containing operators with spin. As an application, we observe a close connection between anomalous dimensions of large spin, double-twist operators and the conformal collider bounds. Through further refinement of these techniques an

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Kusuki, Yuya. "Analytic Conformal Bootstrap in 2D CFT." Doctoral thesis, Kyoto University, 2021. http://hdl.handle.net/2433/263457.

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Kent, A. "Infinite dimensional algebras and the conformal bootstrap." Thesis, University of Cambridge, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.383184.

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Lee, Jaehoon Ph D. Massachusetts Institute of Technology. "Studies of superconformal field theories using GLSM and conformal bootstrap." Thesis, Massachusetts Institute of Technology, 2015. http://hdl.handle.net/1721.1/99308.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 2015.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 273-288).<br>In this thesis, we study strongly interacting superconformal field theories in two and three dimensions. In two dimensions, we investigate N = (0, 2) gauge theories using the gauged linear sigma models (GLSM). In those theories, we identify simple mechanism by which worldsheet description of H-flux satisfying Green-Schwarz Bianchi identity arises. Under the renormalization group flow, we argue that these models f

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Javerzat, Nina. "New conformal bootstrap solutions and percolation models on the torus Two-point connectivity of two- dimensional critical Q-Potts random clusters on the torus Three- and four-point connectivities of two-dimensional critical Q-Potts random clusters on the torus Topological effects and conformal invariance in long-range correlated random surfaces Notes on the solutions of Zamolodchikov- type recursion relations in Virasoro minimal models." Thesis, université Paris-Saclay, 2020. http://www.theses.fr/2020UPASP062.

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Les propriétés géométriques des phénomènes critiques ont généré un intérêt croissant en physique théorique ainsi qu'en mathématiques au cours des trente dernières années. Les systèmes de percolation sont l'exemple par excellence de tels phénomènes géométriques, où la transition de phase est caractérisée par le comportement de degrés de liberté non-locaux, les amas de percolation. Au point critique, ces amas sont des exemples d'objets aléatoires dont la mesure est invariante conforme, c'est à dire invariante sous tout changement d'échelle local. Nous ne savons en général pas caractériser complè

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Sarkar, Sourav. "Analytical Methods for Conformal Field Theory." Doctoral thesis, Humboldt-Universität zu Berlin, 2018. http://dx.doi.org/10.18452/19406.

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In dieser Dissertation stellen wir moderne analytische Methoden zur Untersuchung von konformen Feldtheorien (CFTs) in mehr als zwei Dimensionen vor. Mit Hilfe dieser Methoden können das Spektrum der Theorie und die Operatorprodukt-Koeffizienten (OPE-Koeffizienten) ermittelt werden. Zunächst untersuchen wir das Spektrum lokaler Operatoren in CFTs auf einem Defekt mit Kodimension größer eins. Wir zeigen, dass für großen transversalen Spin s das Spektrum jeder Theorie abzählbar unendlich viele Häufungspunkte aufweist. Der Spin s ist die Quantenzahl, die zu der Untergruppe der Lorentzgruppe gehör

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Book chapters on the topic "Bootstrap conformes"

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Rychkov, Slava. "Conformal Bootstrap." In EPFL Lectures on Conformal Field Theory in D ≥ 3 Dimensions. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-43626-5_4.

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Kaku, Michio. "BPZ Bootstrap and Minimal Models." In Strings, Conformal Fields, and Topology. Springer US, 1991. http://dx.doi.org/10.1007/978-1-4684-0397-8_2.

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Zamolodchikov, A. B. "Conformal Bootstrap in two Dimensions." In Critical Phenomena. Birkhäuser Boston, 1985. http://dx.doi.org/10.1007/978-1-4899-6650-6_16.

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Kaku, Michio. "BPZ Bootstrap and Minimal Models." In Strings, Conformal Fields, and M-Theory. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-0503-6_2.

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Zamolodchikov, A., and Al Zamolodchikov. "Conformal Bootstrap in Liouville Field Theory." In Low-Dimensional Applications of Quantum Field Theory. Springer US, 1997. http://dx.doi.org/10.1007/978-1-4899-1919-9_17.

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Teschner, Jörg. "A guide to two-dimensional conformal field theory." In Integrability: From Statistical Systems to Gauge Theory. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198828150.003.0002.

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This is a review of two-dimensional conformal field theory including the Virasoro algebra, the bootstrap, and some of the relations to integrable models. An effort is made to develop the basic formalism in a way which is both elementary but also as flexible as possible at the same time. Some advanced topics such as conformal field theory on higher genus surfaces and relations to the isomonodromic deformation problem are discussed; for other topics we offer a first guide to the literature.

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Zinn-Justin, Jean. "Critical domain: Universality, ε-expansion." In Quantum Field Theory and Critical Phenomena. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198834625.003.0016.

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In Chapter 15, the scaling behaviour of correlation functions at criticality, T = T<sub>c</sub>, has been derived. This chapter is devoted to the critical domain, where the correlation length is large with respect to the microscopic scale, but finite. In dimensions d < 4, above T<sub>c</sub>, the property of strong scaling is derived: in the critical domain above T<sub>c</sub>, all correlation functions, after rescaling, can be expressed in terms of universal correlation functions, in which the scale of distance is provided by the correlation length. However, because the correlation length is singular at T<sub>c</sub>, in this formalism, the critical temperature cannot be crossed. Alternatively, one can expand correlation functions in formal power series of the deviation (T −T<sub>c</sub>) from the critical temperature, in presence of a magnetic field. The sum of the expansion satisfies renormalization group (RG) equations also valid for T < T<sub>c</sub> and in a magnetic field, from which follow scaling properties in the whole critical domain. The universal two-point function can be expanded when T approaches T<sub>c</sub>, using the short-distance expansion (SDE). A few terms of the ϵ expansion (ϵ is the deviation from dimension 4) of a few universal quantities are reported. Calculations at fixed dimension and summation of perturbative expansions are described. The conformal bootstrap based on the SDE and conformal invariance at the infrared (IR) fixed point provides an alternative method to determine critical exponents.

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Conference papers on the topic "Bootstrap conformes"

1

Simmons-Duffin, David. "The Conformal Bootstrap." In 2015 Theoretical Advanced Study Institute in Elementary Particle Physics. WORLD SCIENTIFIC, 2016. http://dx.doi.org/10.1142/9789813149441_0001.

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EWERZ, CARLO. "PERTURBATIVE POMERON VERTICES AND THE CONFORMAL BOOTSTRAP." In The Memorial Workshop Devoted to the 85th Birthday of V N Gribov. WORLD SCIENTIFIC, 2016. http://dx.doi.org/10.1142/9789813141704_0012.

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Nakayama, Yu. "Determining the order of chiral phase transition in QCD from conformal bootstrap." In The 33rd International Symposium on Lattice Field Theory. Sissa Medialab, 2016. http://dx.doi.org/10.22323/1.251.0002.

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