Confined quantum fields under the influence of a uniform magnetic field

Abstract

We investigate the influence of a uniform magnetic field on the zero-point energy of charged fields of two types, namely, a massive charged scalar field under Dirichlet boundary conditions and a massive fermion field under MIT boundary conditions. For the first, exact results are obtained, in terms of exponentially convergent functions, and for the second, the limits for small and for large mass are analytically obtained too. Coincidence with previously known, partial result serves as a check of the procedure. For the general case in the second situation --a rather involved one-- a precise numerical analysis is performed.

17 pages, 5 figures

References in corpus (3)

• Measurement of the Casimir force between parallel metallic surfaces
• QCD vacuum structure in strong magnetic fields
• The Casimir energy of a massive fermionic field confined in a d+1 dimensional slab-bag

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• The Casimir energy of a massive fermionic field confined in a d+1 dimensional slab-bag
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• The Casimir effect with quantized charged scalar matter in background magnetic field
• Report of the Detailed Calculation of the Effective Potential in Spacetimes with $S^1\times R^d$ Topology and at Finite Temperature
• Casimir effect in magnetic dual chiral density waves
• Analytical regularisation for confined quantum fields between parallel surfaces
• Fermionic Casimir effect in the presence of compact dimension in field theory with Lorentz invariance violation
• Anomalous-magnetic-moment-enhanced Casimir effect