Dynamical Breakdown of Chirality and Parity in (2+1)-dimensional QED

Details Dynamical Breakdown of Chirality and Parity in (2+1)-dimensional QED Dynamical Breakdown of Chirality and Parity in (2+1)-dimensional QED

1994-05-02

arxiv.org/abs/hep-ph/9404361v3

Nucl.Phys. B434 (1995) 85-108

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, LaTeX, to be published in Nucl. Phys. B

Scientific paper

10.1016/0550-3213(94)00457-P

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 $N_f^c$ for the number of flavors $N_f$ 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.

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