The Gribov problem in Noncommutative gauge theory
High Energy Physics - Theory
2018-04-05 v2
Abstract
After reviewing Gribov ambiguity of non-Abelian gauge theories, a phenomenon related to the topology of the bundle of gauge connections, we show that there is a similar feature for noncommutative QED over Moyal space, despite the structure group being Abelian, and we exhibit an infinite number of solutions for the equation of Gribov copies. This is a genuine effect of noncommutative geometry which disappears when the noncommutative parameter vanishes.
Cite
@article{arxiv.1706.01098,
title = {The Gribov problem in Noncommutative gauge theory},
author = {Maxim Kurkov and Patrizia Vitale},
journal= {arXiv preprint arXiv:1706.01098},
year = {2018}
}
Comments
14 pages. Prepared for the XXV International Fall Workshop on Geometry and Physics, Instituto de Estructura de la Materia (CSIC) Madrid, Spain August 29 - September 02, 2016