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

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

1995-03-21

arxiv.org/abs/hep-th/9503131v1

Phys.Rev.D52:4758-4761,1995

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.52.4758

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.

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