Singular Gauge Transformation in Non-Commutative U(2) Gauge Theory
Yuko Kobashi, Akio Sugamoto
TL;DR
This paper extends a method for analyzing singular gauge transformations from U(1) to U(2) in non-commutative Chern-Simons theory, clarifying their topological and singular behavior.
Contribution
It generalizes Polychronakos's method to U(2), providing new insights into the singularities of non-commutative gauge transformations.
Findings
Clarifies the singular behavior of U(2) gauge transformations
Extends understanding of topologically non-trivial transformations
Provides a framework for analyzing non-commutative gauge singularities
Abstract
A method developed by Polychronakos to study singular gauge transformations in 1+2 dimensional non-commutative Chern-Simons gauge theory is generalized from U(1) group to U(2) group. The method clarifies the singular behavior of topologically non-trivial gauge transformations in non-commutative gauge theory, which appears when the gauge transformations are viewed from the commutative gauge theory equivalent to the commutative theory.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Black Holes and Theoretical Physics · Particle physics theoretical and experimental studies