skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Dirac operator on a disk with global boundary conditions

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.532338· OSTI ID:565715
; ;  [1]
  1. Departamento de Fisica, Facultad de Ciencias Exactas, Universidad Nacional de La Plata (Argentina)

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{endash}Patodi{endash}Singer. We also discuss the connection between our result and the index theorem. {copyright} {ital 1998 American Institute of Physics.}

OSTI ID:
565715
Journal Information:
Journal of Mathematical Physics, Vol. 39, Issue 1; Other Information: PBD: Jan 1998
Country of Publication:
United States
Language:
English

Similar Records

Global boundary conditions for the Dirac operator
Journal Article · Sat Jan 10 00:00:00 EST 1998 · AIP Conference Proceedings · OSTI ID:565715

Chiral asymmetry and the Atiyah-Patodi-Singer index for the Dirac operator on a four-dimensional ball
Journal Article · Mon Jun 15 00:00:00 EDT 1987 · Phys. Rev. D; (United States) · OSTI ID:565715

Anomalous quantum numbers and topological properties of field theories
Thesis/Dissertation · Thu Jan 01 00:00:00 EST 1987 · OSTI ID:565715