Non-Abelian Gauge Theories with Composite Fields in the Background Field Method; Universe; Vol. 9, iss. 1
| Parent link: | Universe.— .— Basel: MDPI AG Vol. 9, iss. 1.— 2023.— Article number 18, 39 p. |
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| 1. Verfasser: | |
| Weitere Verfasser: | , |
| Zusammenfassung: | Title screen Non-Abelian gauge theories with composite fields are examined in the background field method. Generating functionals of Green’s functions for a Yang–Mills theory with composite and background fields are introduced, including the generating functional of vertex Green’s functions (effective action). The corresponding Ward identities are obtained, and the issue of gauge dependence is investigated. A gauge variation of the effective action is found in terms of a nilpotent operator depending on the composite and background fields. On-shell independence from the choice of gauge fixing for the effective action is established. In the study of the Ward identities and gauge dependence, finite field-dependent BRST transformations with a background field are introduced and employed on a systematic basis. On the one hand, this involves the consideration of (modified) Ward identities with a field-dependent anticommuting parameter, also depending on a non-trivial background. On the other hand, the issue of gauge dependence is studied with reference to a finite variation of the gauge Fermion. The concept of a joint introduction of composite and background fields to non-Abelian gauge theories is exemplified by the Gribov–Zwanziger theory, including the case of a local BRST-invariant horizon, and also by the Volovich–Katanaev model of two-dimensional gravity with dynamical torsion Текстовый файл |
| Sprache: | Englisch |
| Veröffentlicht: |
2023
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| Schlagworte: | |
| Online-Zugang: | https://doi.org/10.3390/universe9010018 |
| Format: | Elektronisch Buchkapitel |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=684939 |
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| 200 | 1 | |a Non-Abelian Gauge Theories with Composite Fields in the Background Field Method |f P. Yu. Moshin, A. A. Reshetnyak, R. A. Castro | |
| 203 | |a Текст |b визуальный |c электронный | ||
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| 300 | |a Title screen | ||
| 320 | |a References: 77 tit | ||
| 330 | |a Non-Abelian gauge theories with composite fields are examined in the background field method. Generating functionals of Green’s functions for a Yang–Mills theory with composite and background fields are introduced, including the generating functional of vertex Green’s functions (effective action). The corresponding Ward identities are obtained, and the issue of gauge dependence is investigated. A gauge variation of the effective action is found in terms of a nilpotent operator depending on the composite and background fields. On-shell independence from the choice of gauge fixing for the effective action is established. In the study of the Ward identities and gauge dependence, finite field-dependent BRST transformations with a background field are introduced and employed on a systematic basis. On the one hand, this involves the consideration of (modified) Ward identities with a field-dependent anticommuting parameter, also depending on a non-trivial background. On the other hand, the issue of gauge dependence is studied with reference to a finite variation of the gauge Fermion. The concept of a joint introduction of composite and background fields to non-Abelian gauge theories is exemplified by the Gribov–Zwanziger theory, including the case of a local BRST-invariant horizon, and also by the Volovich–Katanaev model of two-dimensional gravity with dynamical torsion | ||
| 336 | |a Текстовый файл | ||
| 461 | 1 | |t Universe |c Basel |n MDPI AG | |
| 463 | 1 | |t Vol. 9, iss. 1 |v Article number 18, 39 p. |d 2023 | |
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a non-Abelian gauge theories | |
| 610 | 1 | |a composite fields | |
| 610 | 1 | |a background field method | |
| 610 | 1 | |a effective action | |
| 610 | 1 | |a field-dependent BRST transformations | |
| 610 | 1 | |a Ward identities; gauge (in)dependence | |
| 610 | 1 | |a Gribov–Zwanziger theory | |
| 610 | 1 | |a Volovich–Katanaev model | |
| 700 | 1 | |a Moshin |b P. Yu. |g Pavel Yurjevich | |
| 701 | 1 | |a Reshetnyak |b А. А. |c physicist |c Associate Professor of Tomsk Polytechnic University, Candidate of Physical and Mathematical Sciences |f 1970- |g Aleksandr Aleksandrovich |9 88518 | |
| 701 | 1 | |a Castro |b R. A. |g Ricardo Alexander | |
| 801 | 0 | |a RU |b 63413507 |c 20260217 | |
| 850 | |a 63413507 | ||
| 856 | 4 | 0 | |u https://doi.org/10.3390/universe9010018 |z https://doi.org/10.3390/universe9010018 |
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