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 fourdimensional theory. Each contribution to the vacuum polarization is vectorlike. 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:
 10.1016/09205632(96)001302
 Bibcode:
 1996NuPhS..47..599K