Spectral asymmetry for bag boundary conditions

Abstract

We give an expression, in terms of boundary spectral functions, for the spectral asymmetry of the Euclidean Dirac operator in two dimensions, when its domain is determined by local boundary conditions, and the manifold is of product type. As an application, we explicitly evaluate the asymmetry in the case of a finite-length cylinder, and check that the outcome is consistent with our general result. Finally, we study the asymmetry in a disk, which is a non-product case, and propose an interpretation.

Some minor changes. To appear in Journal of Physics A: Mathematical and General

References in corpus (2)

• Domain Walls with Strings Attached
• Spectral branes

Cited by in corpus (11)

• Strong ellipticity and spectral properties of chiral bag boundary conditions
• Chiral bag boundary conditions on the ball
• Realisation of chiral symmetry in the domain model of QCD
• Finite temperature properties of the Dirac operator under local boundary conditions
• Edge States at Phase Boundaries and Their Stability
• Stability theorems for chiral bag boundary conditions
• Heat kernel coefficients for chiral bag boundary conditions
• Spectral asymmetry on the ball and asymptotics of the asymmetry kernel
• Finite Temperature Induced Fermion Number for Quarks in a Chiral Field
• Eta invariants with spectral boundary conditions
• Finite temperature properties of the Dirac operator with bag boundary conditions