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In an analogy to the odd-dimensional case we define the parity anomaly as the part of the one-loop effective action for fermions associated with spectral asymmetry of the Dirac operator.… Click to show full abstract
In an analogy to the odd-dimensional case we define the parity anomaly as the part of the one-loop effective action for fermions associated with spectral asymmetry of the Dirac operator. This quantity is computed directly on four-dimensional manifolds with a boundary and related to the Chern-Simons current on the boundary. Despite a quite unusual Chern-Simons level obtained, the action is gauge invariant and passes all consistency checks.
Keywords:
parity;
anomaly four;
four dimensions;
parity anomaly
Journal Title: Physical Review D
Year Published: 2017
Link to full text (if available)
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Journal Title: Physical Review D
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!