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arXiv · 2108.00902

Chiral anomaly, induced current, and vacuum polarization tensor for a Dirac field in the presence of a defect

C. D. Fosco·A. Silva
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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.

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C. D. Fosco, A. Silva. 2021-08-02. Chiral anomaly, induced current, and vacuum polarization tensor for a Dirac field in the presence of a defect. https://doi.org/10.1016/j.physletb.2021.136659

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