Parity anomaly in four dimensions
High Energy Physics - Theory
2017-07-19 v2 Mesoscale and Nanoscale Physics
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 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
Cite
@article{arxiv.1704.06736,
title = {Parity anomaly in four dimensions},
author = {M. Kurkov and D. Vassilevich},
journal= {arXiv preprint arXiv:1704.06736},
year = {2017}
}
Comments
Revtex, 7 pp V2: added remarks and references