scholarly journals Exploratory study of three-point Green’s functions in Landau-gauge Yang-Mills theory

2006 ◽  
Vol 74 (1) ◽  
Author(s):  
Attilio Cucchieri ◽  
Axel Maas ◽  
Tereza Mendes
Keyword(s):  
Exploratory Study ◽  
Green's Functions ◽  
Green’S Functions ◽  
Landau Gauge ◽  
Yang Mills

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.

scholarly journals REMARKS ON THE CURCI–FERRARI MODEL

2012 ◽  
Vol 27 (22) ◽  
pp. 1250132 ◽  
Author(s):  
PETER M. LAVROV
Keyword(s):  
Effective Action ◽  
Green's Functions ◽  
Green’S Functions ◽  
Gauge Parameter ◽  
Generating Functional ◽  
Yang Mills

We study a dependence of Green's functions for the Curci–Ferrari model on the parameter resembling the gauge parameter in massless Yang–Mills theories. It is shown that the on-shell generating functional of vertex functions (effective action) depends on this parameter.

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