Dirac operators on hypersurfaces as large mass limits
Mathematical Physics
2020-06-23 v1 Analysis of PDEs
Differential Geometry
math.MP
Spectral Theory
Abstract
We show that the eigenvalues of the intrinsic Dirac operator on the boundary of a Euclidean domain can be obtained as the limits of eigenvalues of Euclidean Dirac operators, either in the domain with a MIT-bag type boundary condition or in the whole space, with a suitably chosen zero order mass term.
Keywords
Cite
@article{arxiv.1811.03340,
title = {Dirac operators on hypersurfaces as large mass limits},
author = {Andrei Moroianu and Thomas Ourmières-Bonafos and Konstantin Pankrashkin},
journal= {arXiv preprint arXiv:1811.03340},
year = {2020}
}
Comments
39 pages