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

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.

arXiv comment14 pages, LaTeX

References in corpus (9)

• New Developments in the Casimir Effect
• Fermionic Casimir effect for parallel plates in the presence of compact dimensions with applications to nanotubes
• Fermionic condensate and Casimir densities in the presence of compact dimensions with applications to nanotubes
• Functional approach to the fermionic Casimir effect
• Chiral anomaly for local boundary conditions
• Casimir Energy For a Massive Dirac Field in One Spatial Dimension: A Direct Approach
• Bosonization rules in $1/2+1$ dimensions
• A simple derivation of the Overlap Dirac Operator
• Vacuum polarization from confined fermions in 3 + 1 dimensions