Gauge Fixing Identity in the Background Field Method of QCD in Pure Gauge

Abstract

In this paper we derive a gauge fixing identity by varying the covariant gauge fixing term in $Z[A,J,\eta ,\bar{\eta }]$ in the background field method of QCD in pure gauge. Using this gauge fixing identity we establish a relation between $Z[J,\eta ,\bar{\eta }]$ in QCD and $Z[A,J,\eta ,\bar{\eta }]$ in background field method of QCD in pure gauge. We show the validity of this gauge fixing identity in general non-covariant and general Coulomb gauge fixings respectively. This gauge fixing identity is used to prove factorization theorem in QCD at high energy colliders and in non-equilibrium QCD at high energy heavy-ion colliders.

14 pages latex, Non-covariant gauge fixing added, (Accepted for Publication in IJMPA)

References in corpus (6)

• Non-Perturbative Quark-Antiquark Production From a Constant Chromo-Electric Field via the Schwinger Mechanism
• Non-Perturbative Gluon pair production from a Constant Chromo-Electric Field via the Schwinger Mechanism in Arbitrary Gauge
• Proof of Factorization Using Background Field Method of QCD
• Proof of Factorization of Fragmentation Function in Non-Equilibrium QCD
• Renormalization Group Equation and QCD Coupling Constant in the Presence of SU(3) Chromo-Electric Field
• Fragmentation Function in Non-Equilibrium QCD Using Closed-Time Path Integral Formalism