Nonperturbative Gauge Fixing and Perturbation Theory
Wolfgang Bock (Univ. Siegen), Maarten Golterman (Univ. of Tsukuba and, Washington Univ.), Michael Ogilvie (Washington Univ.), Yigal Shamir (Tel Aviv, Univ.)
TL;DR
This paper compares two gauge-fixing methods, demonstrating their perturbative equivalence for gauge-invariant quantities and providing a local, renormalizable Feynman rule set for one approach.
Contribution
It introduces a local, renormalizable Feynman rule set for the JPLZ gauge-fixing procedure and proves its perturbative equivalence to the standard Fadeev-Popov method.
Findings
Perturbative equality of gauge-invariant quantities between methods
Construction of local, renormalizable Feynman rules for JPLZ
Demonstration of gauge-fixing approach equivalence
Abstract
We compare the gauge-fixing approach proposed by Jona-Lasinio and Parrinello, and by Zwanziger (JPLZ) with the standard Fadeev-Popov procedure, and demonstrate perturbative equality of gauge-invariant quantities, up to irrelevant terms induced by the cutoff. We also show how a set of local, renormalizable Feynman rules can be constructed for the JPLZ procedure.
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