Non-Abelian Thermal Large Gauge Transformations in 2+1 Dimensions
F. T. Brandt, Ashok Das, Gerald V. Dunne, J. Frenkel, J. C. Taylor
TL;DR
This paper explores various constructions of non-Abelian large gauge transformations at finite temperature, introducing a new ansatz capable of having any integer winding number, expanding the understanding of gauge transformations in 2+1 dimensions.
Contribution
The paper presents a novel ansatz for non-Abelian large gauge transformations with arbitrary integer winding numbers at finite temperature, extending previous models.
Findings
Relation of Pisarski's ansatz to Hopf mappings
Introduction of a new ansatz with arbitrary winding number
Enhanced understanding of gauge transformations in 2+1 dimensions
Abstract
We discuss several different constructions of non-Abelian large gauge transformations at finite temperature. Pisarski's ansatz with even winding number is related to Hopf mappings, and we present a simple new ansatz that has any integer winding number at finite temperature.
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