Renormalization of gauge theories in the background-field approach

被引：55

作者：

Barvinsky, Andrei O. ^{[1
]}

Blas, Diego ^{[2
]}

Herrero-Valea, Mario ^{[3
]}

Sibiryakov, Sergey M. ^{[2
,3
,4
]}

Steinwachs, Christian F. ^{[5
]}

机构：

[1] Lebedev Phys Inst, Theory Dept, Leninsky Prospect 53, Moscow 119991, Russia

[2] CERN, Dept Theoret Phys, CH-1211 Geneva 23, Switzerland

[3] Ecole Polytech Fed Lausanne, Inst Phys, LPPC, CH-1015 Lausanne, Switzerland

[4] Russian Acad Sci, Inst Nucl Res, 60th October Anniversary Prospect,7a, Moscow 117312, Russia

[5] Albert Ludwigs Univ Freiburg, Inst Phys, Hermann Herder Str 3, D-79104 Freiburg, Germany

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2018年 / 07期

基金：

瑞士国家科学基金会;

关键词：

BRST Quantization; Effective Field Theories; Gauge Symmetry; Models of Quantum Gravity; LOCAL BRST COHOMOLOGY; YANG-MILLS THEORY; INVARIANT RENORMALIZABILITY; QUANTUM-THEORY; GRAVITY; FORMULATION; ANOMALIES;

D O I：

10.1007/JHEP07(2018)035

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

Using the background-field method we demonstrate the Becchi-Rouet-Stora-Tyutin (BRST) structure of counterterms in a broad class of gauge theories. Put simply, we show that gauge invariance is preserved by renormalization in local gauge field theories whenever they admit a sensible background-field formulation and anomaly-free path integral measure. This class encompasses Yang-Mills theories (with possibly Abelian subgroups) and relativistic gravity, including both renormalizable and non-renormalizable (effective) theories. Our results also hold for non-relativistic models such as Yang-Mills theories with anisotropic scaling or Horava gravity. They strengthen and generalize the existing results in the literature concerning the renormalization of gauge systems. Locality of the BRST construction is emphasized throughout the derivation. We illustrate our general approach with several explicit examples.

引用

页数：42

共 50 条

[1] Renormalization of gauge theories in the background-field approach
Andrei O. Barvinsky
Diego Blas
Mario Herrero-Valea
Sergey M. Sibiryakov
Christian F. Steinwachs
[J]. Journal of High Energy Physics, 2018
[2] RENORMALIZATION OF NON-ABELIAN GAUGE THEORIES IN A BACKGROUND-FIELD GAUGE .1. GREENS FUNCTIONS
KLUBERGSTERN, H
ZUBER, JB
[J]. PHYSICAL REVIEW D, 1975, 12 (02): : 482 - 488
[3] RENORMALIZATION OF NON-ABELIAN GAUGE THEORIES IN A BACKGROUND-FIELD GAUGE .2. GAUGE-INVARIANT OPERATORS
KLUBERGSTERN, H
ZUBER, JB
[J]. PHYSICAL REVIEW D, 1975, 12 (10) : 3159 - 3180
[4] Multiplicative renormalization of Yang–Mills theories in the background-field formalism
Igor A. Batalin
Peter M. Lavrov
Igor V. Tyutin
[J]. The European Physical Journal C, 2018, 78
[5] Multiplicative renormalization of Yang-Mills theories in the background-field formalism
Batalin, Igor A.
Lavrov, Peter M.
Tyutin, Igor V.
[J]. EUROPEAN PHYSICAL JOURNAL C, 2018, 78 (07):
[6] BACKGROUND-FIELD GAUGE AND DECOUPLING OF MASSIVE FERMIONS IN UNBROKEN GAUGE-THEORIES
CHATTOPADHYAY, U
[J]. PHYSICAL REVIEW D, 1983, 28 (06): : 1557 - 1559
[7] BACKGROUND-FIELD METHOD AND THE RENORMALIZATION OF NON-ABELIAN GAUGE-THEORIES IN CURVED SPACE-TIME
TOMS, DJ
[J]. PHYSICAL REVIEW D, 1983, 27 (08): : 1803 - 1813
[8] RENORMALIZATION USING THE BACKGROUND-FIELD METHOD
ICHINOSE, S
OMOTE, M
[J]. NUCLEAR PHYSICS B, 1982, 203 (02) : 221 - 267
[9] Differential renormalization of QCD in the background-field method
Nyeo, SL
[J]. CHINESE JOURNAL OF PHYSICS, 1996, 34 (03) : 874 - 880
[10] CONVEX DECOMPOSITION OF THE GAUGE FIELD AND BACKGROUND-FIELD QUANTIZATION
HILL, NCA
[J]. CANADIAN JOURNAL OF PHYSICS, 1992, 70 (06) : 470 - 474

← 1 2 3 4 5 →