Chiral bag boundary conditions on the ball

Abstract

Local boundary conditions for spinor fields are expressed in terms of a 1-parameter family of boundary operators, and find applications ranging from (supersymmetric) quantum cosmology to the bag model in quantum chromodynamics. The present paper proves that, for massless spinor fields on the Euclidean ball in dimensions d=2,4,6, the resulting zeta(0) value is independent of such a theta parameter, while the various heat-kernel coefficients exhibit a theta-dependence which is eventually expressed in a simple way through hyperbolic functions and their integer powers.

30 pages, REVTeX

References in corpus (2)

• Spectral asymmetry for bag boundary conditions
• Heat kernel asymptotics: more special case calculations

Cited by in corpus (11)

• Heat kernel expansion: user's manual
• Strong ellipticity and spectral properties of chiral bag boundary conditions
• Spectral action for torsion with and without boundaries
• Finite temperature properties of the Dirac operator under local boundary conditions
• Stability theorems for chiral bag boundary conditions
• Heat kernel coefficients for chiral bag boundary conditions
• Heat Kernel, Spectral Functions and Anomalies in Weyl Semimetals
• Modified Spectral Boundary conditions in the Bag Model
• Worldline approach for spinor fields in manifolds with boundaries
• Spectral asymmetry on the ball and asymptotics of the asymmetry kernel
• Finite temperature properties of the Dirac operator with bag boundary conditions