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hep-th2004★ 3 cited
Spectral functions of the Dirac operator under local boundary conditions
C. G. Beneventano, E. M. Santangelo
After a brief discussion of elliptic boundary problems and their properties, we concentrate on a particular example: the Euclidean Dirac operator in two dimensions, with its domain…
hep-th2001
Evaluation of Casimir energies through spectral functions
E. M. Santangelo
This is an introductory set of lectures on elliptic differential operators and boundary problems, and their associated spectral functions. The role of zeta functions and traces of…
hep-th1998
Dirac fields in a Bohm-Aharonov background and spectral boundary conditions
C. G. Beneventano, M. De Francia, E. M. Santangelo
We study the problem of a Dirac field in the background of an Aharonov-Bohm flux string. We exclude the origin by imposing spectral boundary conditions at a finite radius then shri…