Dynamical Chiral Symmetry Breaking on a Brane in Reduced QED
Abstract
Reduced gauge theories are theories in which while gauge fields propagate in a bulk, fermion fields are localized on a brane. We study dynamical chiral symmetry breaking on a 2-brane and a 1-brane in reduced QED_{3+1}, and on a 1-brane in reduced QED_{2+1}. Since, unlike higher dimensional gauge theories, QED_{3+1} and QED_{2+1} are well defined, their reduced versions can serve as a laboratory for studying dynamics in a higher dimensional brane world. The analysis of the Schwinger-Dyson (SD) equations in these theories reveals rich and quite nontrivial dynamics in which the conformal symmetry and its breakdown play a crucial role. Explicit solutions of the SD equations in the near-critical regime are obtained and the character of the corresponding phase transition is described.
Keywords
Cite
@article{arxiv.hep-ph/0105059,
title = {Dynamical Chiral Symmetry Breaking on a Brane in Reduced QED},
author = {E. V. Gorbar and V. P. Gusynin and V. A. Miransky},
journal= {arXiv preprint arXiv:hep-ph/0105059},
year = {2009}
}
Comments
PRD version