Perturbation Theory at Finite Extent of Fifth Dimension for Vacuum Overlap Formula of Chiral Determinant
Abstract
We develop a perturbation theory for the vacuum overlap formula of chiral determinant at finite extent of fifth dimension in the lattice regularization. We adopt a fermion boundary condition which is derived from the lattice action of Wilson fermion. As an application, we calculate the vacuum polarization in four-dimensional theory. Each contribution to the vacuum polarization is vector-like. It is the existence of light (Dirac) mode in the spectrum of fermion with positive homogeneous mass that leads to the chiral normalization.
- Publication:
-
Nuclear Physics B Proceedings Supplements
- Pub Date:
- March 1996
- DOI:
- 10.1016/0920-5632(96)00130-2
- Bibcode:
- 1996NuPhS..47..599K