Spectral shift function for massless Dirac operator

Galina Levitina, UNSW, Australia

Abstract

We prove a representation of spectral shift function via the regularised determinant, which is similar to the classical representation of the spectral shift function due to Krein. As an application, we prove continuity result for the spectral shift function for the pair of free massless Dirac operator and its perturbation by electromagnetic potential in dimensions two and three.