2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/54848Functional 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.Talk given at SOCHIFI X, November 27-29/1996, Valparaiso, Chile. 12 pages, RevTeX, in spanishHigh Energy Physics - Theorytext