High Energy Physics - Theory
[Submitted on 2 Aug 2021]
Title:Chiral anomaly, induced current, and vacuum polarization tensor for a Dirac field in the presence of a defect
View PDFAbstract: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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