Determinants of elliptic boundary problems for Dirac operators I. Local boundary conditions
funct-an
2016-08-14 v1 Functional Analysis
Abstract
We study functional determinants for Dirac operators on manifolds with boundary and discuss the ellipticity of boundary problems by using the Calder\'on projector. We give, for local boundary conditions, an explicit formula relating these determinants to the corresponding Green functions. We finally apply this result to the case of a bidimensional disk under bag-like conditions.
Keywords
Cite
@article{arxiv.funct-an/9411005,
title = {Determinants of elliptic boundary problems for Dirac operators I. Local boundary conditions},
author = {H. Falomir and R. E. Gamboa Saraví and M. A. Muschietti and E. M. Santangelo and J. E. Solomin},
journal= {arXiv preprint arXiv:funct-an/9411005},
year = {2016}
}
Comments
53 pages - LaTeX