# Parity anomaly in four dimensions

@article{Kurkov2017ParityAI, title={Parity anomaly in four dimensions}, author={Maxim Kurkov and Dmitri Vassilevich}, journal={Physical Review D}, year={2017}, volume={96}, pages={025011} }

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.

## 31 Citations

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