Kenkyu-Honkan bldg. 1F - Kobayashi Hall
A gauge-invariant regularization of chiral gauge theory
- Mr. Katsuta SAKAI
We propose a novel gauge-invariant regularization for the perturbative chiral gauge theory. We describe a chiral fermion as the massless mode of the domain-wall fermion. There we can regularize both the parity-odd and even part of the fermion loops by introducing the Pauli-Villars regulators. On the other hand, loops involving the gauge field are regularized by applying the dimensional regularization only to the gauge field. We show that the formulation requires gauge-invariant counter terms only when the theory is gauge-anomaly free, and that the fermion number anomaly is correctly reproduced.