Analytical regularization for confined quantum fields between parallel surfaces

Santos, F. C.; Tort, A. C.; Elizalde, E.

doi:10.1088/0305-4470/39/21/s73

J. Phys. A: Math. Gen.

2006

DOI: 10.1088/0305-4470/39/21/s73

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Analytical regularization for confined quantum fields between parallel surfaces

F. C. Santos¹,

A. C. Tort²,

E. Elizalde³

Abstract: We review a simple technique for evaluating the vacuum energy stemming from non-trivial boundary conditions and present results for the Casimir energy of a massive fermionic field confined in a d + 1-dimensional slab-bag and the effect of a uniform magnetic field on the vacuum energy of confined massive bosonic and fermionic fields. New results concerning the Casimir energy and the evaluation of the rate of creation of quanta in κ-deformed theories are presented.

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Thermal effects on the Casimir energy of a Lorentz-violating scalar in magnetic field

Erdas

2021

Int. J. Mod. Phys. A

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In this work, I investigate the finite temperature Casimir effect due to a massive and charged scalar field that breaks Lorentz invariance in a CPT-even, aether-like way. I study the cases of Dirichlet and mixed (Dirichlet–Neumann) boundary conditions on a pair of parallel plates. I will not examine the case of Neumann boundary conditions since it produces the same results as Dirichlet boundary conditions. The main tool used in this investigation is the [Formula: see text]-function technique that allows me to obtain the Helmholtz free energy and Casimir pressure in the presence of a uniform magnetic field perpendicular to the plates. Three cases of Lorentz asymmetry are studied: timelike, spacelike and perpendicular to the magnetic field, spacelike and parallel to the magnetic field. Asymptotic cases of small plate distance, high temperature, strong magnetic field, and large mass will be considered for each of the three types of Lorentz asymmetry and each of the two types of boundary conditions examined. In all these cases, simple and very accurate analytic expressions of the thermal corrections to the Casimir energy and pressure are obtained and I discover that these corrections strongly depend on the direction of the unit vector that produces the breaking of the Lorentz symmetry.

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Thermal effects on the Casimir energy of a Lorentz-violating scalar in magnetic field

Erdas

2021

Int. J. Mod. Phys. A

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show abstract

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Analytical regularization for confined quantum fields between parallel surfaces

Cited by 1 publication

References 13 publications

Thermal effects on the Casimir energy of a Lorentz-violating scalar in magnetic field

Thermal effects on the Casimir energy of a Lorentz-violating scalar in magnetic field

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