Massive 3+1 Aharonov-Bohm fermions in an MIT cylinder

Abstract

We study the effect of a background flux string on the vacuum energy of massive Dirac fermions in 3+1 dimensions confined to a finite spatial region through MIT boundary conditions. We treat two admissible self-adjoint extensions of the Hamiltonian. The external sector is also studied and unambiguous results for the Casimir energy of massive fermions in the whole space are obtained.

12 pages, 5 figures, LaTeX

References in corpus (4)

• Zeta Functions and the Casimir Energy
• Casimir energy of massive MIT fermions in a Bohm-Aharonov background
• Vacuum energy of a massive scalar field in the presence of a semi-transparent cylinder
• Vacuum energy in the presence of a magnetic string with delta function profile

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• Fermionic Casimir densities in a conical space with a circular boundary and magnetic flux
• Finite temperature fermionic charge and current densities induced by a cosmic string with magnetic flux
• Induced fermionic currents in de Sitter spacetime in the presence of a compactified cosmic string
• Green functions of the Dirac equation with magnetic-solenoid field
• Induced fermionic charge and current densities in two-dimensional rings
• Relativistic persistent currents in ideal Aharonov-Bohm rings
• Relativistic currents on ideal Aharonov-Bohm cylinders
• Aharonov-Bohm rings in de Sitter expanding universe