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

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.

16 pages, 3 figures

References in corpus (3)

• The ground state energy of a spinor field in the background of a finite radius flux tube
• The ground state energy of a massive scalar field in the background of a semi-transparent spherical shell
• Dirac fields in the background of a magnetic flux string and spectral boundary conditions

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