Dynamical breakdown of chirality and parity in (2+1)dimensional QED
Abstract
In the (2+1)dimensional QED with and without the ChernSimons term, we find the nonlocal gauge in which there is no wavefunction renormalization for the fermion in the framework of the SchwingerDyson equation. By solving the SchwingerDyson equation in the nonlocal gauge, we find a finite critical value N_{f}^{c} for the number of flavors N_{f} of fourcomponent Dirac fermions, above which the chiral symmetry restores irrespective of presence or absence of the ChernSimons 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 SchwingerDyson equation.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1995
 DOI:
 10.1016/05503213(94)00457P
 arXiv:
 arXiv:hepph/9404361
 Bibcode:
 1995NuPhB.434...85K
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 22 pages, LaTeX, to be published in Nucl. Phys. B