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

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

2009-05-04

arxiv.org/abs/0905.0143v3

Int.J.Mod.Phys.A25:3885-3898,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1142/S0217751X10050172

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.

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