A. J. Niemi, G. W. Semenoff
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.
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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.
Key concepts: Holonomy, Mixed anomaly, Gauge anomaly, Anomaly (physics), Physics, Chiral anomaly, Supersymmetric gauge theory, Mathematical descriptions of the electromagnetic field