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arXiv · 1706.01098

The Gribov problem in Noncommutative gauge theory

Maxim Kurkov·Patrizia Vitale
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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.

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Maxim Kurkov, Patrizia Vitale. 2018-03-08. The Gribov problem in Noncommutative gauge theory. https://doi.org/10.1142/s0219887818501190

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