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 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.

scholarly journals QUANTUM PROPERTIES OF GENERAL GAUGE THEORIES WITH COMPOSITE AND EXTERNAL FIELDS

1999 ◽  
Vol 14 (24) ◽  
pp. 3847-3869 ◽  
Author(s):  
S. FALKENBERG ◽  
B. GEYER ◽  
P. MOSHIN
Keyword(s):  
Gauge Theories ◽  
Green Functions ◽  
External Fields ◽  
Ward Identities ◽  
Gauge Dependence ◽  
Quantum Properties ◽  
General Gauge

The generating functionals of Green functions with composite and external fields are considered in the framework of BV and BLT quantization methods for general gauge theories. The corresponding Ward identities are derived and the gauge dependence is investigated.

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 A PROPOSAL FOR A GENERALIZED CANONICAL osp(1, 2) QUANTIZATION OF DYNAMICAL SYSTEMS WITH CONSTRAINTS

1999 ◽  
Vol 14 (08n09) ◽  
pp. 569-574
Author(s):  
PETR M. LAVROV ◽  
JORGE ANANIAS NETO ◽  
WILSON OLIVEIRA
Keyword(s):  
Dynamical Systems ◽  
Green's Functions ◽  
Green’S Functions ◽  
Canonical Quantization ◽  
Quantization Method ◽  
Ward Identities ◽  
Gauge Dependence ◽  
S Matrix

The aim of this letter is to consider the possibility of constructing a generalized canonical quantization method for arbitrary dynamical systems with first-class constraints based on the osp (1, 2) supersymmetry principle. This proposal can be considered as a counterpart to the osp (1, 2)-covariant Lagrangian quantization method introduced recently by Geyer, Lavrov and Mülsch. The gauge dependence of Green's functions is studied. It is shown that if the parameter m2 of the osp (1, 2) superalgebra is not equal to zero, then the vacuum functional and S-matrix depend on the gauge. In the limit m→0 the gauge independence of vacuum functional and S-matrix are restored. The Ward identities related to the osp (1, 2) symmetry are derived.

THE GAUGE DEPENDENCE OF THE EFFECTIVE ACTION OF COMPOSITE FIELDS IN GENERAL GAUGE THEORIES

1989 ◽  
Vol 04 (19) ◽  
pp. 5205-5212 ◽  
Author(s):  
P. M. LAVROV ◽  
S. D. ODINTSOV
Keyword(s):  
Effective Action ◽  
Gauge Theories ◽  
Gauge Condition ◽  
Ward Identities ◽  
Yang Mills ◽  
Gauge Dependence ◽  
General Gauge

The gauge dependence of the effective action of composite fields is investigated. The Ward identities for general gauge theories with arbitrary composite fields are found. It is proved that the extremum of the action of composite fields does not depend on the gauge condition. An example of the calculation of the effective action of composite fields in Yang-Mills theory is discussed.

scholarly journals SUPERFIELD FORMULATION OF THE LAGRANGIAN BRST QUANTIZATION METHOD

1995 ◽  
Vol 10 (35) ◽  
pp. 2687-2694 ◽  
Author(s):  
P.M. LAVROV ◽  
P.YU. MOSHIN ◽  
A.A. RESHETNYAK
Keyword(s):  
Gauge Theories ◽  
Brst Quantization ◽  
Brst Symmetry ◽  
Quantization Method ◽  
Ward Identities ◽  
S Matrix ◽  
General Gauge ◽  
Quantization Rules

Lagrangian quantization rules for general gauge theories are proposed on a basis of a superfield formulation of the standard BRST symmetry. Independence of the S-matrix on a choice of the gauge is proved. The Ward identities in terms of superfields are derived.

The one-loop Green’s functions of dimensionally reduced gauge theories

Pramana ◽  
1988 ◽  
Vol 30 (3) ◽  
pp. 173-182 ◽  
Author(s):  
S V Ketov ◽  
Y S Prager
Keyword(s):  
Green's Functions ◽  
Gauge Theories ◽  
Green’S Functions ◽  
The One
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