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

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

1999-10-19

arxiv.org/abs/hep-th/9910154v1

Phys.Rev. D61 (2000) 085019

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 3 figures

Scientific paper

10.1103/PhysRevD.61.085019

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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