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Parity anomaly in four dimensions

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Author(s):
Kurkov, M. ; Vassilevich, D.
Total Authors: 2
Document type: Journal article
Source: PHYSICAL REVIEW D; v. 96, n. 2, p. 7-pg., 2017-07-14.
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. (AU)

FAPESP's process: 15/05120-0 - Spectral geometry and gravity
Grantee:Maxim Kurkov
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 16/03319-6 - Non perturbative methods in quantum theory and QFT and their application to actual physical problems
Grantee:Dmitri Maximovitch Guitman
Support Opportunities: Research Projects - Thematic Grants