Determinants of Dirac operators with local boundary conditions

Abstract

We study functional determinants for Dirac operators on manifolds with boundary. We give, for local boundary conditions, an explicit formula relating these determinants to the corresponding Green functions. We finally apply this result to the case of a bidimensional disk under bag-like conditions.

standard LaTeX, 24 pages. To appear in Jour. Math. Phys

References in corpus (1)

• Functional determinant and Green functions for a fermionic gauge theory on the disk

Cited by in corpus (4)

• Dirac Operator on a disk with global boundary conditions
• Massless fermions in a bag at finite density and temperature
• Finite density and temperature in hybrid bag models
• Symbol calculus and zeta--function regularized determinants