Chiral anomaly, induced current, and vacuum polarization tensor for a Dirac field in the presence of a defect
High Energy Physics - Theory
2021-10-27 v1
Abstract
We evaluate the vacuum polarization tensor (VPT) for a massless Dirac field in 1+1 and 3+1 dimensions, in the presence of a particular kind of defect, which in a special limit imposes bag boundary conditions. We also show that the chiral anomaly in the presence of such a defect is the same as when no defects are present, both in 1+1 and 3+1 dimensions. This implies that the induced vacuum current in 1+1 dimensions due to the lowest order VPT is exact.
Keywords
Cite
@article{arxiv.2108.00902,
title = {Chiral anomaly, induced current, and vacuum polarization tensor for a Dirac field in the presence of a defect},
author = {C. D. Fosco and A. Silva},
journal= {arXiv preprint arXiv:2108.00902},
year = {2021}
}
Comments
14 pages, LaTeX