Dynamical Breakdown of Chirality and Parity in (2+1)-dimensional QED
High Energy Physics - Phenomenology
2009-10-28 v3
Abstract
In the (2+1)-dimensional QED with and without the Chern-Simons term, we find the non-local gauge in which there is no wavefunction renormalization for the fermion in the framework of the Schwinger-Dyson equation. By solving the Schwinger-Dyson equation in the non-local gauge, we find a finite critical value for the number of flavors of four-component Dirac fermions, above which the chiral symmetry restores irrespective of presence or absence of the Chern-Simons term. In the same framework, we study the possibility of dynamical breakdown of the parity. It is shown that the parity is not dynamically broken. We discuss this reason from the viewpoint of the Schwinger-Dyson equation.
Keywords
Cite
@article{arxiv.hep-ph/9404361,
title = {Dynamical Breakdown of Chirality and Parity in (2+1)-dimensional QED},
author = {Kei-Ichi Kondo and Toru Ebihara and Takuya Iizuka and Eiji Tanaka},
journal= {arXiv preprint arXiv:hep-ph/9404361},
year = {2009}
}
Comments
22 pages, LaTeX, to be published in Nucl. Phys. B