Limiting absorption principle for Dirac operator in $R^d$

Abstract:

Using tools of the scattering theory we prove a limiting absorption for the free massless Dirac operator DD in multidimensional Euclidean space. As a corollary we prove that for a sufficiently good potential VV, the interacting massless Dirac operator D+VD+V has purely absolutely continuous spectrum. No prior knowledge of scattering theory is assumed for this talk.