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arxiv: hep-th/9609194 · v2 · pith:ARHKFVZFnew · submitted 1996-09-24 · ✦ hep-th

Dirac Operator on a disk with global boundary conditions

classification ✦ hep-th
keywords boundaryconditionsdiracdiskglobaloperatorabelianatiyah-patodi-singer
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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.

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