Quantum gauge theories on noncommutative 3-d space
Abstract
We consider a class of gauge invariant models on the noncommutative space , a deformation of . Focusing on massless models with no linear dependence, we obtain noncommutative gauge models for which the computation of the propagator can be done in a convenient gauge. We find that the infrared singularity of the massless propagator disappears in the computation of the correlation functions. We show that massless gauge invariant models on have quantum instabilities of the vacuum, signaled by the occurrence of non vanishing 1-point functions for some but not all of the components of the gauge potential. The tadpole contribution to the effective action cannot be interpreted as a standard -term. Its global symmetry does not fit with the one of the classical action, reminiscent to an explicit global symmetry breaking term.
Cite
@article{arxiv.1312.6145,
title = {Quantum gauge theories on noncommutative 3-d space},
author = {Antoine Géré and Patrizia Vitale and Jean-Christophe Wallet},
journal= {arXiv preprint arXiv:1312.6145},
year = {2014}
}
Comments
31 pages. Section 2 modified with two new subsections about derivations of the algebra and the integration measure. References added