Solution of the Gribov problem from gauge invariance
Kurt Langfeld, Tom Heinzl, Anton Ilderton, Martin Lavelle, David, McMullan
TL;DR
This paper introduces a novel gauge-invariant approach to Yang-Mills theory that circumvents the Gribov problem, using Polyakov-Susskind techniques and lattice gauge theory to compute the quark-antiquark potential.
Contribution
It presents a new method that avoids the Gribov ambiguity in gauge fixing, differing from the Faddeev-Popov approach, and demonstrates it through lattice calculations.
Findings
Successfully factors out the gauge group without Gribov issues
Calculates static quark-antiquark potential in Coulomb gauge
Validates the approach with lattice gauge theory results
Abstract
A new approach to gauge fixed Yang-Mills theory is derived using the Polyakov-Susskind projection techniques to build gauge invariant states. In our approach, in contrast to the Faddeev-Popov method, the Gribov problem does not prevent the gauge group from being factored out of the partition function. Lattice gauge theory is used to illustrate the method via a calculation of the static quark-antiquark potential generated by the gauge fields in the fundamental modular region of Coulomb gauge.
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