Gribov horizon in Noncommutative QED
High Energy Physics - Theory
2021-12-06 v2 Mathematical Physics
math.MP
Abstract
It is known that Noncommutative QED (NCQED) exhibits Gribov ambiguities in the Landau gauge. These ambiguities are related to zero modes of the Faddeev-Popov operator and arise in the ghost propagator when it has a pole. In this work, we establish a positive Faddeev-Popov operator for NCQED and the condition for the ghost propagator not to have poles, the so-called Gribov no-pole condition. This condition is implemented in the path integral, and allows for the calculation of the photon propagator in momentum space, which is dependent on the squared non-commutativity parameter. In the commutative limit standard QED is recovered.
Keywords
Cite
@article{arxiv.2106.03600,
title = {Gribov horizon in Noncommutative QED},
author = {Ozório Holanda and Marcelo S. Guimaraes and Luigi Rosa and Patrizia Vitale},
journal= {arXiv preprint arXiv:2106.03600},
year = {2021}
}
Comments
20 pages