Non-perturbative to perturbative QCD via the FFBRST

Abstract

Recently a new type of quadratic gauge was introduced in QCD in which the degrees of freedom are suggestive of a phase of abelian dominance. In its simplest form it is also free of Gribov ambiguity. However this gauge is not suitable for usual perturbation theory. The finite field dependent BRST (FFBRST) transformation is a method established to interrelate generating functionals for different effective versions of gauge fixed field theories. In this paper we propose a FFBRST transformation suitable for transforming the theory in the new quadratic gauge into the standard Lorenz gauge Faddeev-Popov version of the effective lagrangian. The task is made interesting by the fact the BRST invariance obeyed by the two effective lagrangians are not the same, however suitable extension of the previous procedures accomplishes the required result. We are thus able to identify a field redefinition to go from a non-perturbative phase of QCD to perturbative QCD.

10 Pages, Enlarged and revised substantially with new insights

References in corpus (8)

• Off-shell nilpotent finite BRST/anti-BRST transformations
• Finite nilpotent symmetry in Batalin-Vilkovisky formalism
• Finite field-dependent BRST symmetry for ABJM theory in $\mathcal{N}=1$ superspace
• Finite BRST-antiBRST Transformations in Lagrangian Formalism
• Generalized BRST symmetry for arbitrary spin conformal field theory
• Maximal Abelian gauge and a generalized BRST transformation
• Infra-red Abelian dominance without Abelian-projection
• Absence of the Gribov ambiguity in a quadratic gauge

Cited by in corpus (6)

• Deconfinement to Confinement as PT phase transition
• Generalized quantum electrodynamics in the framework of Generalized BRST transformation
• Compact space and infrared behavior of the effective QCD
• BRST symmetry as a mechanism for confinement in the inter gauge framework
• Deconfinement to confinement by generalizing BRST symmetry on the sphere
• Equivalence of two solutions of physical massive gravity