Quantum effective potential for U(1) fields on S^2_L X S^2_L
High Energy Physics - Theory
2009-11-11 v1
Abstract
We compute the one-loop effective potential for noncommutative U(1) gauge fields on S^2_L X S^2_L. We show the existence of a novel phase transition in the model from the 4-dimensional space S^2_L X S^2_L to a matrix phase where the spheres collapse under the effect of quantum fluctuations. It is also shown that the transition to the matrix phase occurs at infinite value of the gauge coupling constant when the mass of the two normal components of the gauge field on S^2_L X S^2_L is sent to infinity.
Cite
@article{arxiv.hep-th/0506044,
title = {Quantum effective potential for U(1) fields on S^2_L X S^2_L},
author = {P. Castro-Villarreal and R. Delgadillo-Blando and Badis Ydri},
journal= {arXiv preprint arXiv:hep-th/0506044},
year = {2009}
}
Comments
13 pages. one figure