Research work · 1985

Quantum Holonomy and the Chiral Gauge Anomaly

Antti J. Niemi, Gordon Walter Semenoff

Physical Review Letters

Abstract

The chiral gauge anomaly is studied by use of the U(1) holonomy on the space of all gauge fields. On this space an Abelian gauge structure is identified and the anomaly is related to the pertinent field-strength tensor and computed by use of the $\ensuremath{\eta}$ invariant of a five-dimensional Dirac operator.

DOI: 10.1103/physrevlett.55.927