Minimal U(1) Gauge Fields in Two Dimensions
Istvan Montvay
TL;DR
This paper constructs Gribov copies in 2D compact U(1) lattice gauge models, develops a gauge fixing algorithm, and reports numerical results in a 2D Higgs model, with discussions on extensions to higher dimensions and other gauge groups.
Contribution
It introduces a gauge fixing algorithm for 2D U(1) models based on Gribov copies and provides numerical insights, extending considerations to higher-dimensional gauge theories.
Findings
Successfully constructs Gribov copies in 2D U(1) models.
Develops an effective gauge fixing algorithm.
Provides numerical results in a 2D Higgs model.
Abstract
Gribov copies of the vacuum in two dimensional compact U(1) lattice gauge models are constructed. On the basis of this a gauge fixing algorithm is developped, wich finds the minimum of the sum of link field squares. Numerical experience in a two dimensional Higgs model with fixed length scalar field is reported and the extension to three and four dimensional U(1) and four dimensional SU(2) gauge theories is briefly discussed.
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