English

Condiciones de contorno globales para el operador de Dirac

High Energy Physics - Theory 2007-05-23 v1

Abstract

Functional determinants for Dirac operators on manifolds with boundary are considered. Ellipticity of boundary value problems is discussed in terms of the Calderon projector. The functional determinant for a Dirac operator on a bidimensional disk, in the presence of an Abelian gauge field, subject to global boundary conditions of the type introduced by Atiyah-Patodi-Singer, is evaluated. The relationship with the index theorem is also commented.

Keywords

Cite

@article{arxiv.hep-th/9612155,
  title  = {Condiciones de contorno globales para el operador de Dirac},
  author = {H. Falomir},
  journal= {arXiv preprint arXiv:hep-th/9612155},
  year   = {2007}
}

Comments

Talk given at SOCHIFI X, November 27-29/1996, Valparaiso, Chile. 12 pages, RevTeX, in spanish