The derivation of the regularized chiral Jacobian using the zeta function method

Abstract

A simple recurrence for the higher derivatives of the Hurwitz zeta function Using the zeta function method, a general formula for the regularized chiral Jacobian to theories including non-Hermitian Dirac operators g defined in arbitrary even-dimensional Euclidean space is derived. The agreement of this formula with the results obtained in the differential geometric approach is also clarified. ~(s.A) = ~jA j-s. DenotingK(x,y,O) as the kernel of operator 0, one can write 2294