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Casimir energy of massive MIT fermions in a Bohm-Aharonov background

C. G. Beneventano·M. De Francia·K. Kirsten·E. M. Santangelo
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Abstract

We study the effect of a background flux string on the vacuum energy of massive Dirac fermions in 2+1 dimensions confined to a finite spatial region through MIT boundary conditions. We treat two admissible self-adjoint extensions of the Hamiltonian and compare the results. In particular, for one of these extensions, the Casimir energy turns out to be discontinuous at integer values of the flux.

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C. G. Beneventano, M. De Francia, K. Kirsten, E. M. Santangelo. 1999-10-19. Casimir energy of massive MIT fermions in a Bohm-Aharonov background. https://doi.org/10.1103/physrevd.61.085019

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