On the <math></math>Function Regularization of Chiral Jacobians for Singular Dirac Operators

Physics NotePublished

On the $<math>\zeta</math>$ Function Regularization of Chiral Jacobians for Singular Dirac Operators

C.E.I. Carneiro; Sebastião Alves Dias; M.T. Thomas

1989

Authors: C.E.I. Carneiro; Sebastião Alves Dias; M.T. Thomas
Type: Physics Note
Status: Published
Publication date: 1989
Description: We propose a definition of the chiral Jacobian which uses the invariance of the generating functional under chiral rotations. This definition takes into account the contributions of all terms which after the rotation, get a dependence on the chiral parameter a. We show that when the Dirac operator has zero eigenvalues the presence of fermionic sources gives an additional dependence on <math>\alpha</math>. Our definition, by considering this a-dependence, reconciles the <math>\zeta</math>–function method of calculating chiral Jacobians with Fujikawa's.
Year: 1989
Number: CBPF-NF-037/89
Linked to a thesis: No
Linked to a grant: No