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arXiv · 0905.0143

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

Gouranga C Nayak
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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.

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Gouranga C Nayak. 2009-05-04. Gauge Fixing Identity in the Background Field Method of QCD in Pure Gauge. https://doi.org/10.1142/s0217751x10050172

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