Dirac Operator on a disk with global boundary conditions
H. Falomir, R. E. Gamboa Saraví, E. M. Santangelo
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.
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