English

Dirac Operator on a disk with global boundary conditions

High Energy Physics - Theory 2016-08-15 v2

Abstract

We compute the functional determinant for a Dirac operator in the presence of an Abelian gauge field on a bidimensional disk, under global boundary conditions of the type introduced by Atiyah-Patodi-Singer. We also discuss the connection between our result and the index theorem.

Keywords

Cite

@article{arxiv.hep-th/9609194,
  title  = {Dirac Operator on a disk with global boundary conditions},
  author = {H. Falomir and R. E. Gamboa Saraví and E. M. Santangelo},
  journal= {arXiv preprint arXiv:hep-th/9609194},
  year   = {2016}
}

Comments

RevTeX, 11 pages. References added

R2 v1 2026-07-22T16:01:35.516Z