Discrete Anomaly and Dynamical Mass in 2+1 dimensional U(1)V× U(1)A Model
Abstract
We note that in (2+1)-dimensional gauge theories with even number of massless fermions, there is anomalous Z2 symmetry if theory is regularized in a parity-invariant way. We then consider a parity invariant U(1)V× U(1)A model, which induces a mutual Chern-Simons term in the effective action due to Z2 anomaly. The effect of the discrete anomaly is studied in the induced spin and in the dynamical fermion mass.
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