An approach to solve Slavnov-Taylor identities in nonsupersymmetric non-Abelian gauge theories

Abstract

We present a way to solve Slavnov--Taylor identities in a general nonsupersymmetric theory. The solution can be parametrized by a limited number of functions of spacetime coordinates, so that all the effective fields are dressed by these functions via integral convolution. The solution restricts the ghost part of the effective action and gives predictions for the physical part of the effective action.

revised version, section 3 is enlarged, 24 pages, Latex2e, no figures, version accepted by Phys. Rev. D

References in corpus (4)

• Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
• QCD effective action with dressing functions - consistency checks in the perturbative regime
• The solution to Slavnov-Taylor identities in D4 N=1 SYM
• Introduction to BRS symmetry

Cited by in corpus (10)

• Towards the two-loop Lcc vertex in Landau gauge
• New four-dimensional integrals by Mellin-Barnes transform
• Effective action of dressed mean fields for N = 4 super-Yang-Mills theory
• QCD effective action with dressing functions - consistency checks in the perturbative regime
• Fourier transforms of UD integrals
• An approach to solve Slavnov-Taylor identity in D4 N=1 supergravity
• On the Effective Action of Dressed Mean Fields for N = 4 Super-Yang-Mills Theory
• Further results for the two-loop Lcc vertex in the Landau gauge
• Gluon self-interaction in the position space in Landau gauge
• Finiteness of N =4 super-Yang-Mills effective action in terms of dressed N =1 superfields