SU(2) chiral Yang-Mills model on a lattice. Witten anomaly eaten by the lattice

Abstract

Using a regularisation of the chiral SU(2) Yang-Mills model by an infinite number of Pauli-Villars fields the doubler free gauge invariant lattice model is constructed. Its continuum limit provides the recently proposed mechanism for cancelation of Witten anomaly.

Comments: Changes suggested by the Referee are made, new references are added, 10pp. To appear in Phys.Lett.B