Gribov Copies and Gauge Fixing in Lattice Gauge Theories
O. Oliveira, P. J. Silva
TL;DR
This paper investigates the challenge of gauge fixing in lattice gauge theories, proposing a hybrid algorithm to effectively identify the global maximum of the gauge fixing functional, thereby addressing the Gribov copies problem.
Contribution
It introduces a combined evolutionary and steepest descent algorithm to improve gauge fixing accuracy in lattice gauge theories, particularly for SU(2) and SU(3).
Findings
The combined algorithm successfully finds the global maximum in small lattices.
Performance varies between SU(2) and SU(3) cases.
The method improves gauge fixing reliability over traditional approaches.
Abstract
We address the problem of the gauge fixing versus Gribov copies in lattice gauge theories. For the Landau gauge, results show that a suitable combination of evolutionary algorithms with traditional steepest descent methods identifies the global maximum of the optimisation function. We discuss the performance of the combined algorithm on small cubic lattices for SU(2) and SU(3).
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