The Chiral Anomaly
The Dirac operator on a manifold M is a first order partial differential operator acting on sections of a spin bundle over M. The Dirac operator is elliptic when the metric of M is positive definite. The main task in this chapter is to study properties of the determinant of the Dirac operator.
KeywordsVector Bundle Line Bundle Gauge Transformation Dirac Operator Clifford Algebra
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