Phase of a chiral determinant and global SU(2) anomaly

TL;DR

This paper constructs a local path integral representation for the phase of a chiral determinant and uses it to modify the action of chiral SU(2) fermions, effectively removing the global anomaly.

Contribution

It introduces a new local action representation for the chiral determinant phase, enabling the removal of the global SU(2) anomaly in chiral fermion theories.

Findings

Successfully constructs a local path integral representation.

Removes the global SU(2) anomaly from chiral fermions.

Provides a new method for anomaly cancellation in gauge theories.

Abstract

A representation for the phase of a chiral determinant in terms of a path integral of a local action is constructed. This representation is used to modify the action of chiral SU(2) fermions removing the global anomaly.