TL;DR
This paper explores gauge-fixing as a sampling method for gauge copies, enabling well-defined gauges beyond perturbation theory, with applications in lattice gauge theory and non-perturbative Landau gauge extensions.
Contribution
It introduces sampling strategies for gauge-fixing that incorporate non-trivial global symmetries, extending gauge fixing beyond perturbative regimes.
Findings
Sampling strategies can define gauges beyond perturbation theory.
Non-trivial global symmetries can be incorporated via sampling.
Examples demonstrate advantages of these methods.
Abstract
Gauge-fixing as a sampling procedure of gauge copies provides a possibility to construct well-defined gauges also beyond perturbation theory. The implementation of such sampling strategies in lattice gauge theory is briefly outlined, and examples are given for non-perturbative extensions of the Landau gauge. An appropriate choice of sampling can also introduce non-trivial global symmetries as a remainder of the gauge symmetry. Some examples for this are also given, highlighting their particular advantages.
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