Anomaly through Gauge Invariant Regularization with Infinite Number of Pauli-Villars Fields

Abstract

Abelian anomaly is examined by means of the recently proposed gauge invariant regularization for SO(10) chiral gauge theory and its generalization for a theory of arbitrary gauge group with anomaly-free chiral fermion contents. For both cases it is shown that the anomaly with correct normalization can be obtained in a gauge invariant form without any counterterms.

16pages, UTHEP-258, KUNS-1204, HE(TH)93/05

Cited by in corpus (14)

• A construction of lattice chiral gauge theories
• Surface states and chiral symmetry on the lattice
• Chiral Fermions on the Lattice
• Generalized Pauli-Villars Regularization and the Covariant Form of Anomalies
• Vacuum Polarization and Chiral Lattice Fermions
• On the gauge invariant path-integral measure for the overlap Weyl fermions in $\underline{16}$ of SO(10)
• Kaplan-Narayanan-Neuberger lattice fermions pass a perturbative test
• Massive torsion modes, chiral gravity, and the Adler-Bell-Jackiw anomaly
• Weak coupling expansion of a chiral gauge theory on a lattice in the overlap formulation
• Invariant Regularization of Anomaly-Free Chiral Theories
• Path Integral Evaluation of Non-Abelian Anomaly and Pauli--Villars--Gupta Regularization
• Lattice perturbation theory in the overlap formulation for the Yukawa and gauge interactions
• Remark on Pauli-Villars Lagrangian on the Lattice
• On the Generalised Pauli--Villars Regularization of the Standard Model