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Relevant bibliographies by topics / Abelian and non-abelian gauge theories

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Academic literature on the topic 'Abelian and non-abelian gauge theories'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Abelian and non-abelian gauge theories"

1

Marshakov, A. V. "Non-Abelian gauge theories, prepotentials, and Abelian differentials." Theoretical and Mathematical Physics 159, no. 2 (2009): 598–617. http://dx.doi.org/10.1007/s11232-009-0049-8.

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Hanany, Amihay, and Yang-Hui He. "Non-abelian finite gauge theories." Journal of High Energy Physics 1999, no. 02 (1999): 013. http://dx.doi.org/10.1088/1126-6708/1999/02/013.

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ALFORD, MARK G., and JOHN MARCH-RUSSELL. "DISCRETE GAUGE THEORIES." International Journal of Modern Physics B 05, no. 16n17 (1991): 2641–73. http://dx.doi.org/10.1142/s021797929100105x.

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In this review we discuss the formulation and distinguishing characteristics of discrete gauge theories, and describe several important applications of the concept. For the abelian (ℤN) discrete gauge theories, we consider the construction of the discrete charge operator F(Σ*) and the associated gauge-invariant order parameter that distinguishes different Higgs phases of a spontaneously broken U(1) gauge theory. We sketch some of the important thermodynamic consequences of the resultant discrete quantum hair on black holes. We further show that, as a consequence of unbroken discrete gauge symm

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4

Han, Nguyen Suan, and V. N. Pervushin. "Gauge-Invariant Quantization of Abelian and Non-Abelian Theories." Fortschritte der Physik/Progress of Physics 37, no. 8 (1989): 611–55. http://dx.doi.org/10.1002/prop.2190370803.

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LOZANO, Y. "DUALITY AND CANONICAL TRANSFORMATIONS." Modern Physics Letters A 11, no. 37 (1996): 2893–914. http://dx.doi.org/10.1142/s0217732396002873.

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We present a brief review on the canonical transformation description of some duality symmetries in string and gauge theories. In particular, we consider Abelian and non-Abelian T-dualities in closed and open string theories as well as S-duality in Abelian and non-Abelian nonsupersymmetric gauge theories.

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Singleton, D., and A. Yoshida. "Increasing Potentials in Classical Non-Abelian and Abelian Gauge Theories." International Journal of Modern Physics A 12, no. 26 (1997): 4823–30. http://dx.doi.org/10.1142/s0217751x97002565.

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An exact solution for an SU(2) Yang–Mills field coupled to a scalar field is given, which has potentials with linear, 1/r and 1/r2 parts. This may be of some interest since some phenomenological QCD studies assume a linear plus Coulomb potential. We also show that in the Nielsen–Olesen Abelian model there is an exact solution in the BPS limit, which has a 1/r electromagnetic field and a logarithmically rising scalar field. Both of these solutions must be cutoff from above to avoid infinite field energy.

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DESER, S., and MARC HENNEAUX. "GAUGE PROPERTIES OF CONSERVED CURRENTS IN ABELIAN VERSUS NON-ABELIAN THEORIES." Modern Physics Letters A 10, no. 12 (1995): 991–95. http://dx.doi.org/10.1142/s0217732395001095.

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We clarify the physical origin of the difference between gauge properties of conserved currents in Abelian and non-Abelian theories. In the latter, but not in the former, such currents can always be written on-shell as gauge invariants modulo identically conserved, superpotential, terms. For the “isotopic” vector and the stress tensor currents of spins one and two respectively, we explain this difference by the fact that the non-Abelian theories are just the self-coupled versions of the Abelian ones using these currents as sources. More precisely, we indicate how the self-coupling turns the no

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Kneipp, M. A. C. "Monopole Confinement in Non-Abelian Theories." International Journal of Modern Physics A 18, no. 12 (2003): 2085–91. http://dx.doi.org/10.1142/s0217751x03015520.

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MARTÍN, ISBELIA. "NON-ABELIAN DUAL MAPS IN PATH SPACE." Modern Physics Letters A 14, no. 13 (1999): 809–19. http://dx.doi.org/10.1142/s0217732399000857.

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We study an extension of the procedure to construct duality transformations among Abelian gauge theories to the non-Abelian case using a path space formulation. We define a pre-dual functional in path space and introduce a particular nonlocal map among Lie algebra valued one-form functionals which reduces to the ordinary Hodge-⋆ duality map of the Abelian theories. Further, we establish a full set of equations on path space representing the ordinary Yang–Mills equations and Bianchi identities of non-Abelian gauge theories of four-dimensional Euclidean space.

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Gattringer, Christof, Daniel Göschl, and Carlotta Marchis. "Worldlines and worldsheets for non-abelian lattice field theories: Abelian color fluxes and Abelian color cycles." EPJ Web of Conferences 175 (2018): 11007. http://dx.doi.org/10.1051/epjconf/201817511007.

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We discuss recent developments for exact reformulations of lattice field theories in terms of worldlines and worldsheets. In particular we focus on a strategy which is applicable also to non-abelian theories: traces and matrix/vector products are written as explicit sums over color indices and a dual variable is introduced for each individual term. These dual variables correspond to fluxes in both, space-time and color for matter fields (Abelian color fluxes), or to fluxes in color space around space-time plaquettes for gauge fields (Abelian color cycles). Subsequently all original degrees of

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Dissertations / Theses on the topic "Abelian and non-abelian gauge theories"

1

Lo, Hoi-Kwong Preskill John P. "Exotic phenomena in non-Abelian gauge theories /." Diss., Pasadena, Calif. : California Institute of Technology, 1994. http://resolver.caltech.edu/CaltechETD:etd-12082008-092947.

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Fraser, C. "Supersymmetric monopoles and duality in non-abelian gauge theories." Thesis, Swansea University, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.637008.

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The principal subject of this thesis is the study of various aspects of supersymmetric magnetic monopoles in four dimensional gauge theories, with particular emphasis on gauge theories with gauge groups larger than SU(2). The classical theory of bosonic magnetic monopoles is reviewed in some detail, as well as the basics of four dimensional supersymmetry, with emphasis on the role of central charges. The generalisations of electric-magnetic duality to Yang-Mills theory with <I>N</I> = 2 and <I>N</I> = 4 supersymmetries and with higher rank gauge group are presented. The approach relies on anal

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Mace, Mark. "Infrared Dynamics of Non-Abelian Gauge Theories out of Equilibrium." Thesis, State University of New York at Stony Brook, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10930781.

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<p> The initial moments after an ultrarelativistic nuclear collision present a unique opportunity to study the many-body dynamics of Quantum Chromodynamics (QCD) out of equilibrium. This system is highly occupied with gluons up to an emergent semi-hard scale, <i>Q<sub>s</sub></i>, the saturation momentum. Because the coupling at early times is weak, systematic studies are possible using an effective theory of QCD, the Color Glass Condensate effective field theory (CGC EFT). In this dissertation, we use the CGC EFT to probe novel features of the infrared regime of far-from-equilibrium QCD syste

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Bidder, Steven James. "Efficient techniques for calculating scattering amplitudes in non-abelian gauge theories." Thesis, Swansea University, 2006. https://cronfa.swan.ac.uk/Record/cronfa42501.

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Recently, a duality between = 4 Super Yang-Mills Theory and Twistor String Theory has been proposed by Witten [1]. This has led to the development of a number of new techniques for calculating Tree and Loop scattering amplitudes in theories with N = A Supersymmetries. In this thesis we examine how these techniques can be extended to calculate purely gluonic one-loop scattering amplitudes in theories with & 4 Supersymmetries. We explicitly calculate six-point N = 1 next to MHV (NHMV) one-loop amplitudes, and certain n-point NMHV examples, and investigate their twistor structure. We find that th

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Waelkens, Andries Jozef Nicolaas. "Calculation of webs in non-Abelian gauge theories using unitarity cuts." Thesis, University of Edinburgh, 2017. http://hdl.handle.net/1842/28757.

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When calculating scattering processes in theories involving massless gauge bosons, such as gluons in Quantum Chromodynamics (QCD), one encounters infrared (IR), or soft, divergences. To obtain precise predictions, it is important to have exact expressions for these IR divergences, which are present in any on-shell scattering amplitude. Due to their long wavelength, soft gluons factorise with respect to short-distance, or hard, interactions and can be captured by correlators of semi-infinite Wilson lines. The latter obey a renormalisation group equation, which gives rise to exponentiation. The

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Holmberg, Måns. "Calculating the Mass of Magnetic Monopoles in Non-Abelian Gauge Theories." Thesis, Uppsala universitet, Teoretisk fysik, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-298743.

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Harley, Mark Stuart. "Multiparton webs in non-abelian gauge theories at three loops and beyond." Thesis, University of Edinburgh, 2016. http://hdl.handle.net/1842/19562.

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Amplitudes in theories with a massless gauge boson suffer from so-called infrared divergences where off-shell states become asymptotically close to the mass-shell in loop or phase-space momentum integrals. These singularities have been shown to cancel intricately order-by-order in the perturbative expansion. However, in order to obtain meaningful and precise predictions for physical observables, we must understand and compute such divergences to high orders. This can be accomplished by calculating webs: weighted sets of Feynman diagrams which, when exponentiated give the complete infrared sing

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Maroncelli, Andrea. "QED and Abelian lattice gauge theories in 2+1 dimensions." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amslaurea.unibo.it/18042/.

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La simulazione di sistemi quantistici con molti gradi di libertà è oggi una sfida impegnativa per la comunità scientifica a causa degli elevati tempi computazionali che crescono esponenzialmente all'aumentare del numero di particelle. Al seguito degli orizzonti aperti dall'articolo "Simulating physics with computers" di Feynman, oggi sono stati fatti numerosi progressi. Egli teorizzò un simulatore quantistico che fosse un vero e proprio apparato fisico che evolvesse nello stesso modo del sistema da studiare e la cui dinamica potesse essere controllata. Sulla base di quest'idea, oggi è possibi

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Mariani, Alessandro. "Finite-group Yang-Mills lattice gauge theories in the Hamiltonian formalism." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amslaurea.unibo.it/21183/.

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Nuovi sviluppi nel campo nelle tecniche sperimentali potrebbero presto permettere la realizzazione di simulatori quantistici, ovvero di sistemi quantomeccanici realizzabili sperimentalmente che descrivano una specifica Hamiltoniana di nostra scelta. Una volta costruito il sistema, si possono effettuare esperimenti per studiare il comportamento della teoria descritta dall'Hamiltoniana scelta. Un'interessante applicazione riguarda le teorie di gauge non-Abeliane come la Cromodinamica Quantistica, per le quali si hanno un certo numero di problemi irrisolti, in particolare nella regione a potenzia

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Nishino, Kazuyoshi. "An Application of the Peter-Weyl Theorem to Non-Abelian Lattice Gauge Theory." 京都大学 (Kyoto University), 1993. http://hdl.handle.net/2433/168943.

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本文データは平成22年度国立国会図書館の学位論文(博士)のデジタル化実施により作成された画像ファイルを基にpdf変換したものである<br>Kyoto University (京都大学)<br>0048<br>新制・課程博士<br>博士(理学)<br>甲第5306号<br>理博第1480号<br>新制||理||821(附属図書館)<br>UT51-93-F63<br>京都大学大学院理学研究科数理解折専攻<br>(主査)教授中西襄, 教授柏原正樹, 教授荒木不二洋<br>学位規則第4条第1項該当

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Books on the topic "Abelian and non-abelian gauge theories"

1

Joannis, Papavassiliou, and Binosi Daniele, eds. The pinch technique and its applications to non-Abelian gauge theories. Cambridge University Press, 2011.

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service), SpringerLink (Online, ed. Classical Field Theory: On Electrodynamics, Non-Abelian Gauge Theories and Gravitation. Springer Berlin Heidelberg, 2012.

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Jackiw, Roman. Lectures on Fluid Dynamics: A Particle Theorist's View of Supersymmetric, Non-Abelian, Noncommutative Fluid Mechanics and d-Branes. Springer New York, 2002.

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Kachelriess, Michael. Gauge theories. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0010.

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After reviewing electrodynamics as the special case of an abelian gauge theory, this local symmetry is generalised to non-abelian gauge theories. The curvature of space-time is introduced as analogue of the non-abelian field-strength. Non-abelian gauge theories are quantised using the Fadeev–Popov method and the resulting Feynman rules are derived.

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Manoukian, Edouard B. Quantum Field Theory I: Foundations and Abelian and Non-Abelian Gauge Theories. Springer, 2016.

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Manoukian, Edouard B. Quantum Field Theory I: Foundations and Abelian and Non-Abelian Gauge Theories. Springer, 2018.

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Aitchison, Ian J. R., and Anthony J. G. Hey. Gauge Theories in Particle Physics: A Practical Introduction, Volume 2: Non-Abelian Gauge Theories. CRC Press, 2012. http://dx.doi.org/10.1201/9781466513105.

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8

Scheck, Florian. Classical Field Theory: On Electrodynamics, Non-Abelian Gauge Theories and Gravitation. Springer, 2014.

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Scheck, Florian. Classical Field Theory: On Electrodynamics, Non-Abelian Gauge Theories and Gravitation. Springer, 2019.

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Scheck, Florian. Classical Field Theory: On Electrodynamics, Non-Abelian Gauge Theories and Gravitation. Springer, 2018.

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Book chapters on the topic "Abelian and non-abelian gauge theories"

1

Manoukian, Edouard B. "Non-Abelian Gauge Theories." In Quantum Field Theory I. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30939-2_6.

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2

Quigg, Chris. "Non-Abelian Gauge Theories." In Gauge Theories of the Strong, Weak, and Electromagnetic Interactions. CRC Press, 2021. http://dx.doi.org/10.1201/9780429034978-4.

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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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Scharf, G. "Epilogue: Non-Abelian Gauge Theories." In Finite Quantum Electrodynamics. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-57750-5_7.

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Cabibbo, Nicola, Luciano Maiani, and Omar Benhar. "Quantising a Non-Abelian Theory." In An Introduction to Gauge Theories. CRC Press, 2017. http://dx.doi.org/10.1201/9781315369723-14.

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Cline, James M. "Abelian Gauge Theories: QED." In SpringerBriefs in Physics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-56168-0_12.

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Berg, Bernd A. "Non-Abelian Gauge Theories in “Intermediate” Volumes." In XXIV International Conference on High Energy Physics. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-74136-4_78.

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Hiller, J. R. "Pauli–Villars Regularization of Non-Abelian Gauge Theories." In Light Cone 2015. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-50699-9_45.

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Nill, F. "Gibbs Measure in Landau Gauge for Abelian Lattice Gauge Theories." In Recent Developments in Mathematical Physics. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-73104-4_27.

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Bock, Wolfgang, Ka Chun Leung, Maarten Golterman, and Yigal Shamir. "Abelian and Nonabelian Lattice Chiral Gauge Theories Through Gauge Fixing." In Lattice Fermions and Structure of the Vacuum. Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-011-4124-6_13.

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Conference papers on the topic "Abelian and non-abelian gauge theories"

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Schupp, Peter. "Non-abelian gauge theories on non-commutative spaces." In International Europhysics Conference on High Energy Physics. Sissa Medialab, 2001. http://dx.doi.org/10.22323/1.007.0238.

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Boegli, Michael. "Quantum Simulation of Non Abelian Lattice Gauge Theories." In 31st International Symposium on Lattice Field Theory LATTICE 2013. Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.187.0331.

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ISOZUMI, YOUICHI, MUNETO NITTA, KEISUKE OHASHI, and NORISUKE SAKAI. "WALLS AND VORTICES IN SUPERSYMMETRIC NON-ABELIAN GAUGE THEORIES." In Proceedings of the 10th International Symposium. World Scientific Publishing Company, 2005. http://dx.doi.org/10.1142/9789812701756_0091.

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't Hooft, Gerard. "THE DISCOVERY OF THE RENORMALIZABILITY OF NON-ABELIAN GAUGE THEORIES." In Proceedings of the International School of Subnuclear Physics. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778253_0023.

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Itoh, Taichi, and Yoonbai Kim. "Fixed point structure of 3D abelian gauge theories." In New directions in quantum chromodynamics. AIP, 1999. http://dx.doi.org/10.1063/1.1301677.

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Chabab, Mohamed. "Confinement Driven by Scalar Field in 4d Non Abelian Gauge Theories." In CAIRO INTERNATIONAL CONFERENCE ON HIGH ENERGY PHYSICS (CICHEP II). AIP, 2007. http://dx.doi.org/10.1063/1.2435299.

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Korzec, Tomasz, and Ulli Wolff. "Simulating the Random Surface representation of Abelian Gauge Theories." In 31st International Symposium on Lattice Field Theory LATTICE 2013. Sissa Medialab, 2014. http://dx.doi.org/10.22323/1.187.0038.

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KIKUKAWA, Y. "A PRACTICAL GAUGE INVARIANT CONSTRUCTION OF ABELIAN CHIRAL GAUGE THEORIES ON THE LATTICE." In Proceedings of the 2002 International Workshop. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812795120_0023.

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Korzec, Tomasz, and Ulli Wolff. "A worm-inspired algorithm for the simulation of Abelian gauge theories." In The XXVIII International Symposium on Lattice Field Theory. Sissa Medialab, 2011. http://dx.doi.org/10.22323/1.105.0029.

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HAN, JONGMIN, and NAMKWON KIM. "SOME ABELIAN GAUGE FIELD THEORIES IN THE SELF-DUAL AND NONSELF-DUAL CASES." In Proceedings of the International Conference. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702050_0010.

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Reports on the topic "Abelian and non-abelian gauge theories"

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Schraml, Stefan L. Non-Abelian gauge theory on q-Quantum spaces. Office of Scientific and Technical Information (OSTI), 2002. http://dx.doi.org/10.2172/803865.

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