Discrete Anomaly and Dynamical Mass in 2+1 dimensional $U(1{)}_V\times U(1{)}_A$ Model

Abstract

We note that in (2+1)-dimensional gauge theories with even number of massless fermions, there is anomalous $Z_2$ symmetry if theory is regularized in a parity-invariant way. We then consider a parity invariant $U(1{)}_V\times U(1{)}_A$ model, which induces a mutual Chern-Simons term in the effective action due to $Z_2$ anomaly. The effect of the discrete anomaly is studied in the induced spin and in the dynamical fermion mass.

14 pages, latex, two figures (available upon request)

References in corpus (3)

• First-order Phase Transition in Three-dimensional QED with Chern--Simons Term
• Spontaneous Chiral-Symmetry Breaking in Three-Dimensional QED with a Chern--Simons Term
• Large-N analysis of (2+1)-dimensional Thirring model