Gauge dependence of Green’s functions in quantum electrodynamics from parallel translation

1975 ◽  
Vol 16 (9) ◽  
pp. 1765-1771
Author(s):  
Kurt Meetz
Keyword(s):  
Quantum Electrodynamics ◽  
Green's Functions ◽  
Green’S Functions ◽  
Parallel Translation ◽  
Gauge Dependence

scholarly journals Composite and Background Fields in Non-Abelian Gauge Models

Symmetry ◽  
2020 ◽  
Vol 12 (12) ◽  
pp. 1985
Author(s):  
Pavel Yu. Moshin ◽  
Alexander A. Reshetnyak
Keyword(s):  
Effective Action ◽  
Green's Functions ◽  
Gauge Theories ◽  
Green’S Functions ◽  
Abelian Gauge ◽  
Systematic Analysis ◽  
Generating Functional ◽  
Yang Mills ◽  
Gauge Dependence ◽  
Background Fields

A joint introduction of composite and background fields into non-Abelian quantum gauge theories is suggested based on the symmetries of the generating functional of Green’s functions, with the systematic analysis focused on quantum Yang–Mills theories, including the properties of the generating functional of vertex Green’s functions (effective action). For the effective action in such theories, gauge dependence is found in terms of a nilpotent operator with composite and background fields, and on-shell independence from gauge fixing is established. The basic concept of a joint introduction of composite and background fields into non-Abelian gauge theories is extended to the Volovich–Katanaev model of two-dimensional gravity with dynamical torsion, as well as to the Gribov–Zwanziger theory.

Sp(2) COVARIANT QUANTIZATION OF GAUGE THEORIES

1991 ◽  
Vol 06 (22) ◽  
pp. 2051-2057 ◽  
Author(s):  
P. M. LAVROV
Keyword(s):  
Green's Functions ◽  
Gauge Theories ◽  
Green’S Functions ◽  
Brst Quantization ◽  
Covariant Quantization ◽  
Gauge Dependence

The gauge dependence of the Green's functions generating functionals in the framework of extended Lagrangian BRST quantization is investigated.

scholarly journals ON THE STRUCTURE OF QUANTUM GAUGE THEORIES WITH EXTERNAL FIELDS

1998 ◽  
Vol 13 (23) ◽  
pp. 4077-4089 ◽  
Author(s):  
S. FALKENBERG ◽  
B. GEYER ◽  
P. LAVROV ◽  
P. MOSHIN
Keyword(s):  
Green's Functions ◽  
Gauge Theories ◽  
Green’S Functions ◽  
External Fields ◽  
Ward Identities ◽  
Gauge Dependence ◽  
General Gauge

We consider generating functionals of Green's functions with external fields in the framework of BV and BLT quantization schemes for general gauge theories. The corresponding Ward identities are obtained, and the gauge dependence is studied.

scholarly journals AXIAL ANOMALY THROUGH ANALYTIC REGULARIZATION

1999 ◽  
Vol 14 (03) ◽  
pp. 177-183 ◽  
Author(s):  
L. A. MANZONI ◽  
B. M. PIMENTEL ◽  
J. L. TOMAZELLI
Keyword(s):  
Quantum Electrodynamics ◽  
Vacuum Polarization ◽  
Green's Functions ◽  
Green’S Functions ◽  
Gauge Invariant ◽  
Axial Anomaly ◽  
Analytic Regularization ◽  
Correct Implementation

In this work we consider the two-point Green's functions in (1+1)-dimensional quantum electrodynamics and show that the correct implementation of analytic regularization gives a gauge invariant result for the vacuum polarization amplitude and the correct coefficient for the axial anomaly.

scholarly journals SOFT BREAKING OF BRST SYMMETRY AND GAUGE DEPENDENCE

2012 ◽  
Vol 27 (13) ◽  
pp. 1250067 ◽  
Author(s):  
P. M. LAVROV ◽  
O. V. RADCHENKO ◽  
A. A. RESHETNYAK
Keyword(s):  
Green's Functions ◽  
Gauge Theories ◽  
Green’S Functions ◽  
Brst Symmetry ◽  
Gauge Dependence ◽  
Gauge Fixing ◽  
Definition Of ◽  
Continue Investigation ◽  
Arbitrary Gauge ◽  
General Gauge

We continue investigation of soft breaking of BRST symmetry in the Batalin–Vilkovisky (BV) formalism beyond regularizations like dimensional ones used in our previous paper [JHEP 1110, 043 (2011)]. We generalize a definition of soft breaking of BRST symmetry valid for general gauge theories and arbitrary gauge fixing. The gauge dependence of generating functionals of Green's functions is investigated. It is proved that such introduction of a soft breaking of BRST symmetry into gauge theories leads to inconsistency of the conventional BV formalism.

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