On magnetic catalysis in even-flavor QED3
Abstract
In this paper, we discuss the role of an external magnetic field on the dynamically generated fermion mass in even-flavor QED in three space-time dimensions. Based on some reasonable approximations, we present analytic arguments on the fact that, for weak fields, the magnetically-induced mass increases quadratically with increasing field, while at strong fields one crosses over to a mass scaling logarithmically with the external field. We also confirm this type of scaling behavior through quenched lattice calculations using the non-compact version for the gauge field. Both the zero and finite temperature cases are examined. A preliminary study of the fermion condensate in the presence of magnetic flux tubes on the lattice is also included.
Keywords
Cite
@article{arxiv.hep-ph/9905272,
title = {On magnetic catalysis in even-flavor QED3},
author = {K. Farakos and G. Koutsoumbas and N. E. Mavromatos and Arshad Momen},
journal= {arXiv preprint arXiv:hep-ph/9905272},
year = {2009}
}
Comments
38 pages latex, 18 figures and a style file (axodraw) incorporated (some clarifying remarks concerning the validity of the approximations made and some references were added correcting an earlier version; no effect on conclusions; version to appear in Phys. Rev. D.)