Deconfinement to confinement by generalizing BRST symmetry on the sphere

Abstract

Recently it has been shown that the theory in the quadratic gauge on 4-sphere, ${\mathbb{S}}^4$ consists of two phases namely, the confined and the deconfined phases. A suitable finite field dependent BRST (FFBRST) transformation interrelates two different gauge fixed theories. In this paper, we use the FFBRST technique on the curved space for the first time and elaborate a novel application of it. We propose two different formulations of this technique that transform the deconfined phase action on sphere to the confined phase action on sphere inside the quadratic gauge. Both proposed passages change the phase with BRST invariance to the phase without BRST invariance unlike usual connections where the FFBRST operation leave the BRST symmetry intact and there is a unique field theoretic essence of them, which makes them particularly important to study. Thus, the two different field redefinitions act as a new mechanism that execute phase transition between two real QCD phases on 4-sphere other than ghost condensation process.

arXiv comment14 pages, published

References in corpus (14)

• Nearly conformal gauge theories in finite volume
• Off-shell nilpotent finite BRST/anti-BRST transformations
• Finite nilpotent symmetry in Batalin-Vilkovisky formalism
• Field dependent nilpotent symmetry for gauge theories
• Generalized BRST symmetry for arbitrary spin conformal field theory
• Quantum gauge symmetry from finite field dependent BRST transformations
• Deconfinement to Confinement as PT phase transition
• Maximal Abelian gauge and a generalized BRST transformation
• Infra-red Abelian dominance without Abelian-projection
• Gauge Theories on Sphere and Killing Vectors
• Non-perturbative to perturbative QCD via the FFBRST
• Absence of the Gribov ambiguity in a quadratic gauge
• A BRST gauge-fixing procedure for Yang-Mills theory on sphere
• Compact space and infrared behavior of the effective QCD