Comments on Noncommutative Gauge Theories
Dongsu Bak, Kimyeong Lee, Jeong-Hyuck Park
TL;DR
This paper explores gauge theories on noncommutative spaces, analyzing gauge invariants, solitons, and the universality of U(1) theories to deepen understanding of their structure and solutions.
Contribution
It introduces the covariant position framework for gauge invariants and leverages U(1) universality to analyze solitons in noncommutative gauge theories.
Findings
Defined gauge invariant observables including Wilson lines
Analyzed unstable vortex solutions in two dimensions
Studied BPS dyonic fluxon solutions
Abstract
We study the gauge theories on noncommutative space. We employ the idea of the covariant position to understand the linear and angular momenta, the center of mass position, and to express all gauge invariant observables including the Wilson line. In addition, we utilize the universality of the U(1) gauge theory, which originates from the underlying matrix theory, to analyze various solitons on U(N) theories, like the unstable static vortex solutions in two dimensions and BPS dyonic fluxon solutions.
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