Open AccessDiscrete anomaly and dynamical mass in 2+1 dimension U(1){sub v} {times} U(1){sub A} model
Author(s) -
Deog Ki Hong
Publication year - 1995
Language(s) - English
Resource type - Reports
DOI - 10.2172/179290
Subject(s) - massless particle , parity (physics) , physics , anomaly (physics) , fermion , mixed anomaly , invariant (physics) , mathematical physics , u 1 , gauge anomaly , gauge theory , quantum mechanics , hamiltonian lattice gauge theory
The authors note that in (2+1)-dimensional gauge theories with even number of massless fermions, there is anomalous Z{sub 2} symmetry if theory is regularized in a parity-invariant way. They then consider a parity invariant U(1){sub v} {times} U(1){sub A} model, which induces a mutual Chern-Simons term in the effective action due to Z{sub 2} anomaly. The effect of the discrete anomaly is studied in the induced spin and in the dynamical fermion mass