Academic literature on the topic 'Noncommutative quantum field theory, gauge theory'

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Journal articles on the topic "Noncommutative quantum field theory, gauge theory"

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SZABO, RICHARD J. "DISCRETE NONCOMMUTATIVE GAUGE THEORY." Modern Physics Letters A 16, no. 04n06 (2001): 367–86. http://dx.doi.org/10.1142/s0217732301003474.

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A review of the relationships between matrix models and noncommutative gauge theory is presented. A lattice version of noncommutative Yang–Mills theory is constructed and used to examine some generic properties of noncommutative quantum field theory, such as uv/ir mixing and the appearance of gauge-invariant open Wilson line operators. Morita equivalence in this class of models is derived and used to establish the generic relation between noncommutative gauge theory and twisted reduced models. Finite-dimensional representations of the quotient conditions for toroidal compactification of matrix
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KRAJEWSKI, THOMAS, and RAIMAR WULKENHAAR. "PERTURBATIVE QUANTUM GAUGE FIELDS ON THE NONCOMMUTATIVE TORUS." International Journal of Modern Physics A 15, no. 07 (2000): 1011–29. http://dx.doi.org/10.1142/s0217751x00000495.

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Using standard field theoretical techniques, we survey pure Yang–Mills theory on the noncommutative torus, including Feynman rules and BRS symmetry. Although in general free of any infrared singularity, the theory is ultraviolet divergent. Because of an invariant regularization scheme, this theory turns out to be renormalizable and the detailed computation of the one-loop counterterms is given, leading to an asymptotically free theory. Besides, it turns out that nonplanar diagrams are overall convergent when θ is irrational.
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Yazdani, Aref. "Field Equations and Radial Solutions in a Noncommutative Spherically Symmetric Geometry." Advances in High Energy Physics 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/349659.

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We study a noncommutative theory of gravity in the framework of torsional spacetime. This theory is based on a Lagrangian obtained by applying the technique of dimensional reduction of noncommutative gauge theory and that the yielded diffeomorphism invariant field theory can be made equivalent to a teleparallel formulation of gravity. Field equations are derived in the framework of teleparallel gravity through Weitzenbock geometry. We solve these field equations by considering a mass that is distributed spherically symmetrically in a stationary static spacetime in order to obtain a noncommutat
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Bochicchio, Marco. "Yang–Mills mass gap at large-N, noncommutative YM theory, topological quantum field theory and hyperfiniteness." International Journal of Modern Physics D 24, no. 06 (2015): 1530017. http://dx.doi.org/10.1142/s0218271815300177.

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We review a number of old and new concepts in quantum gauge theories, some of which are well-established but not widely appreciated, some are most recent, that may have analogs in gauge formulations of quantum gravity, loop quantum gravity, and their topological versions, and may be of general interest. Such concepts involve noncommutative gauge theories and their relation to the large-N limit, loop equations and the change to the anti-selfdual (ASD) variables also known as Nicolai map, topological field theory (TFT) and its relation to localization and Morse–Smale–Floer homology, with an emph
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Wang, Weijian, та Jia-Hui Huang. "The one-loop θ2 corrections of gauge boson propagator in the noncommutative scalar U(1) theory". Modern Physics Letters A 29, № 34 (2014): 1450172. http://dx.doi.org/10.1142/s0217732314501727.

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In this paper, the quantum corrections of gauge field propagator are investigated in the noncommutative (NC) scalar U(1) gauge theory with Seiberg–Witten map (SWM) method. We focus on the simplest case where the gauge boson couples with a massless complex scalar field. The one-loop divergent corrections at θ2-order are calculated using the background field method. It is found that the divergences can be absorbed by making field redefinitions, leading to a good renormalizability at θ2-order.
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Ćirić, Marija Dimitrijević, та Nikola Konjik. "Landau levels from noncommutative U(1)⋆ gauge theory in κ-Minkowski space-time". International Journal of Geometric Methods in Modern Physics 15, № 08 (2018): 1850141. http://dx.doi.org/10.1142/s0219887818501414.

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Motivated by physics of the Lowest Landau Level and the Quantum Hall Effect, we investigate motion of an electron in a constant background magnetic field in the [Formula: see text]-Minkowski space-time. Starting from an action invariant under the noncommutative [Formula: see text] gauge transformations, we obtain the [Formula: see text]-deformed Dirac equation. Using the perturbative approach, we calculate noncommutative corrections to energy levels, mass and the gyromagnetic ratio up to the first order in the deformation parameter [Formula: see text].
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Kersting, Nick, та Yong-Liang Ma. "Can a Nonsymmetric Metric mimic NCQFT in e+e- → γγ?" Modern Physics Letters A 22, № 07n10 (2007): 699–709. http://dx.doi.org/10.1142/s0217732307023298.

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In the nonsymmetric gravitational theory (NGT) the space-time metric gμν departs from the flat-space Minkowski form ημν such that it is no longer symmetric, i.e.gμν ≠ gνμ. We find that in the most conservative such scenario coupled to quantum field theory, which we call Minimally Nonsymmetric Quantum Field Theory (MNQFT), there are experimentally measurable consequences similar to those from noncommutative quantum field theory (NCQFT). This can be expected from the Seiberg-Witten map which has recently been interpreted as equating gauge theories on noncommutative spacetimes with those in a fie
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Bufalo, R., and M. Ghasemkhani. "Three-dimensional noncommutative Yukawa theory: Induced effective action and propagating modes." International Journal of Modern Physics A 32, no. 04 (2017): 1750019. http://dx.doi.org/10.1142/s0217751x17500191.

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In this paper, we establish the analysis of noncommutative Yukawa theory, encompassing neutral and charged scalar fields. We approach the analysis by considering carefully the derivation of the respective effective actions. Hence, based on the obtained results, we compute the one-loop contributions to the neutral and charged scalar field self-energy, as well as to the Chern–Simons polarization tensor. In order to properly define the behavior of the quantum fields, the known UV/IR mixing due to radiative corrections is analyzed in the one-loop physical dispersion relation of the scalar and gaug
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Varshovi, Amir Abbass. "⋆-cohomology, third type Chern character and anomalies in general translation-invariant noncommutative Yang–Mills." International Journal of Geometric Methods in Modern Physics 18, no. 06 (2021): 2150089. http://dx.doi.org/10.1142/s0219887821500894.

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A representation of general translation-invariant star products ⋆ in the algebra of [Formula: see text] is introduced which results in the Moyal–Weyl–Wigner quantization. It provides a matrix model for general translation-invariant noncommutative quantum field theories in terms of the noncommutative calculus on differential graded algebras. Upon this machinery a cohomology theory, the so-called ⋆-cohomology, with groups [Formula: see text], [Formula: see text], is worked out which provides a cohomological framework to formulate general translation-invariant noncommutative quantum field theorie
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Morita, K. "A New Gauge-Invariant Regularization Scheme Based on Lorentz-Invariant Noncommutative Quantum Field Theory." Progress of Theoretical Physics 111, no. 6 (2004): 881–905. http://dx.doi.org/10.1143/ptp.111.881.

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Dissertations / Theses on the topic "Noncommutative quantum field theory, gauge theory"

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Grosse, Harald, Thomas Krajewski, Raimar Wulkenhaar, and grosse@doppler thp univie ac at. "Renormalization of Noncommutative Yang-Mills Theories: A Simple Example." ESI preprints, 2000. ftp://ftp.esi.ac.at/pub/Preprints/esi914.ps.

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Kailasvuori, Janik. "Quasiparticles in the Quantum Hall Effect." Doctoral thesis, Stockholm : Department of Physics, Stockholm University, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-1250.

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Alcántara, Bode Julio, and J. Yngvason. "Algebraic quantum field theory and noncommutative moment problems I." Pontificia Universidad Católica del Perú, 2013. http://repositorio.pucp.edu.pe/index/handle/123456789/96072.

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Andreassen, Anders Johan. "Gauge Dependence of the Quantum Field Theory Effective Potential." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for fysikk, 2013. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-23120.

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Using the absolute stability requirement of the Standard Model vacuum, we compute the Higgs mass bound for the 1-loop Standard Model effective potential with gauge dependence in the $R_\xi$ gauges together with 3-loop beta functions, 3-loop anomalous dimension and 2-loop threshold corrections. We find that the bound changes by +0.1GeV when we change the gauge parameter $\xi$ from 0 to 50. We also report that the Higgs bound plateaus as we increase $\xi$ beyond 100.
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Schenkel, Alexander [Verfasser], and Thorsten [Akademischer Betreuer] Ohl. "Noncommutative Gravity and Quantum Field Theory on Noncommutative Curved Spacetimes / Alexander Schenkel. Betreuer: Thorsten Ohl." Würzburg : Universitätsbibliothek der Universität Würzburg, 2011. http://d-nb.info/1016615094/34.

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Troost, Jan. "Strings, links between conformal field theory, gauge theory and gravity." Habilitation à diriger des recherches, Université Pierre et Marie Curie - Paris VI, 2009. http://tel.archives-ouvertes.fr/tel-00410720.

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La théorie de cordes unifie de façon naturelle les théories de jauge, qui décrivent les interactions entre les particules élémentaires, avec une théorie quantique de la gravitation. Ces dernières années ont apporté de grands progrès dans la compréhension des états non-perturbatifs de la théorie, ses aspects holographiques, ainsi que la construction de modèles proches du Modèle Standard. Néanmoins, il reste des défis pour la théorie de cordes, qui incluent une définition non-perturbative, une meilleure compréhension de l'holographie, et le problème de la constante cosmologique. Ma recherche s'e
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Gatti, Antonio. "A gauge invariant flow equation." Thesis, University of Southampton, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.268629.

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Kizilersü, Ayşe. "Gauge theory constraints on the fermion-boson vertex." Thesis, Durham University, 1995. http://etheses.dur.ac.uk/4886/.

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In this thesis we investigate the role played by fundamental properties of QED in determining the non-perturbative fermion-boson vertex. These key features are gauge invariance and multiplicative renormalisability. We use the Schwinger-Dyson equations as the non- perturbative tool to study the general structure of the fermion-boson vertex in QED. These equations, being an infinite set, have to be truncated if they are to be solved. Such a truncation is made possible by choosing a suitable non-perturbative ansatz for the fermion-boson vertex. This choice must satisfy these key properties of gau
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Rondelli, Andrea. "Functional methods in quantum field theory." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/15839/.

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Iniziamo introducendo l'integrazione su manifold di Hilbert, tramite l'approssimazione dello spazio tangente alla varietà. Passiamo poi a descrivere due tecniche per regolarizzare integrali funzionali o di cammino quadratici (che presentano un laplaciano nell'azione): la regolarizzazione e rinormalizzazione tramite zeta function e il cutoff nel tempo proprio. Cerchiamo di confrontare i due diversi risultati (finiti) così ottenuti. Sussessivamente applichiamo l'integrazione funzionale agli integrali di cammino usando il formalismo della quantizzazione in qp-simboli ottenendo così un'ampiezza di
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Burgess, Mark. "Gauge vacua on multiply connected spacetimes." Thesis, University of Newcastle Upon Tyne, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.293575.

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Books on the topic "Noncommutative quantum field theory, gauge theory"

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Zeidler, Eberhard. Quantum Field Theory III: Gauge Theory. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22421-8.

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Carow-Watamura, Ursula, Yoshiaki Maeda, and Satoshi Watamura, eds. Quantum Field Theory and Noncommutative Geometry. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/b102320.

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Faddeev, L. D. Gauge fields, introduction to quantum theory. 2nd ed. Addison-Wesley Pub., Advanced Book Program, 1991.

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Peskin, Michael Edward. An introduction to quantum field theory. Addison-Wesley Pub. Co., 1995.

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Quantum field theory: A modern introduction. Oxford University Press, 1993.

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Conformal field theory with gauge symmetry. American Mathematical Society, 2008.

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Finite temperature field theory. World Scientific, 1997.

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Pokorski, Stefan. Gauge field theories. Cambridge University Press, 1987.

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Sengupta, Ambar. Gauge theory on compact surfaces. American Mathematical Society, 1997.

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author, Mertens Tom, and Veken, Frederik F. Van der, author, eds. Wilson lines in quantum field theory. De Gruyter, 2014.

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Book chapters on the topic "Noncommutative quantum field theory, gauge theory"

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Zeidler, Eberhard. "The Noncommutative Yang–Mills SU(N)-Gauge Theory." In Quantum Field Theory III: Gauge Theory. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22421-8_16.

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Ydri, Badis. "Noncommutative Gauge Theory." In Lectures on Matrix Field Theory. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-46003-1_6.

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Folland, Gerald. "Gauge field theories." In Quantum Field Theory. American Mathematical Society, 2008. http://dx.doi.org/10.1090/surv/149/09.

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Narlikar, Jayant V., and T. Padmanabhan. "Quantum Field Theory." In Gravity, Gauge Theories and Quantum Cosmology. Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-4508-1_4.

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Stora, Raymond. "Semi Classical Aspects of Gauge Theories." In Quantum Field Theory. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/3-540-44482-3_12.

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Lüscher, M., and P. Weisz. "On-shell Improved Lattice Gauge Theories." In Quantum Field Theory. Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-642-70307-2_4.

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Manoukian, Edouard B. "Abelian Gauge Theories." In Quantum Field Theory I. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30939-2_5.

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Ydri, Badis. "Quantum Noncommutative Phi-Four." In Lectures on Matrix Field Theory. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-46003-1_4.

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Schlesinger, Karl-Georg. "Some Steps Towards Noncommutative Mirror Symmetry on the Torus." In Quantum Field Theory. Birkhäuser Basel, 2009. http://dx.doi.org/10.1007/978-3-7643-8736-5_5.

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Waldmann, Stefan. "Noncommutative Field Theories from a Deformation Point of View." In Quantum Field Theory. Birkhäuser Basel, 2009. http://dx.doi.org/10.1007/978-3-7643-8736-5_7.

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Conference papers on the topic "Noncommutative quantum field theory, gauge theory"

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Wohlgenannt, Michael. "Noncommutative gauge theory and renormalisability." In Corfu Summer Institute on Elementary Particles and Physics - Workshop on Non Commutative Field Theory and Gravity. Sissa Medialab, 2011. http://dx.doi.org/10.22323/1.127.0033.

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Markum, Harald. "Instantons in Two-Dimensional Noncommutative U(1) Gauge Theory." In The XXV International Symposium on Lattice Field Theory. Sissa Medialab, 2008. http://dx.doi.org/10.22323/1.042.0317.

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Schenkel, Alexander. "Quantum Field Theory on Curved Noncommutative Spacetimes." In Corfu Summer Institute on Elementary Particles and Physics - Workshop on Non Commutative Field Theory and Gravity. Sissa Medialab, 2011. http://dx.doi.org/10.22323/1.127.0029.

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Yu. Vernov, Yurii, and Melita Mnatsakanova. "Cluster properties in noncommutative quantum field theory." In The XIXth International Workshop on High Energy Physics and Quantum Field Theory. Sissa Medialab, 2011. http://dx.doi.org/10.22323/1.104.0041.

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VERNOV, YU S. "AXIOMATIC APPROACH IN NONCOMMUTATIVE QUANTUM FIELD THEORY." In Proceedings of the 33rd International Conference. World Scientific Publishing Company, 2007. http://dx.doi.org/10.1142/9789812790873_0270.

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Tedesco, Daniel Guimaraes, Ozemar Ventura, Luiz Cláudio Vilar, and Vitor Emanuel Rodino Lemes. "Renormalizable noncommutative U(1) gauge theory without IR/UV mixing." In 5th International School on Field Theory and Gravitation. Sissa Medialab, 2009. http://dx.doi.org/10.22323/1.081.0071.

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Markum, Harald, and Arifa Ali Khan. "Definition of Instantons in Noncommutative Gauge Theory in Higher Dimensions." In The XXVIII International Symposium on Lattice Field Theory. Sissa Medialab, 2011. http://dx.doi.org/10.22323/1.105.0258.

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Sako, A. "A Recipe To Construct A Gauge Theory On A Noncommutative Kähler Manifold." In Workshop on Strings, Membranes and Topological Field Theory. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813144613_0010.

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Brouder, Christian, Nguyen Viet Dang, and Alessandra Frabetti. "Noncommutative version of Borcherds' approach to quantum field theory." In Frontiers of Fundamental Physics 14. Sissa Medialab, 2016. http://dx.doi.org/10.22323/1.224.0134.

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GROSSE, HARALD. "TAMING THE LANDAU GHOST IN NONCOMMUTATIVE QUANTUM FIELD THEORY." In Proceedings of the Symposium in Honor of Wolfhart Zimmermann's 80th Birthday. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812833556_0006.

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