Axial anomaly in the reduced model: Higher representations

Abstract

The topological charge in the $\text{U}(N)$ vector-like reduced model can be defined by using the overlap Dirac operator. We obtain its large $N$ limit for a fermion in a general gauge-group representation under a certain restriction of gauge field configurations which is termed $\text{U}(1)$ embedding.

Comments: 3 pages, Lattice2003(chiral)