Finite temperature Casimir effect for massive scalars in a magnetic field

Erdas, Andrea; Seltzer, Kevin

doi:10.1142/s0217751x14500912

Cited by 10 publications

(9 citation statements)

References 32 publications

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“…(27) is within 0.2 percent of the exact value for √ eBa ≥ 2 and √ eB/T ≥ 2, with an accuracy similar to that of Eqs. (21) and (22).…”

Section: Discussionmentioning

confidence: 99%

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Magnetic field corrections to the repulsive Casimir effect at finite temperature

Erdas

2016

Int. J. Mod. Phys. A

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I investigate the finite temperature Casimir effect for a charged and massless scalar field satisfying mixed (Dirichlet-Neumann) boundary conditions on a pair of plane parallel plates of infinite size. The effect of a uniform magnetic field, perpendicular to the plates, on the Helmholtz free energy and Casimir pressure is studied. The ζ-function regularization technique is used to obtain finite results. Simple analytic expressions are obtained for the zeta function and the free energy, in the limits of small plate distance, high temperature and strong magnetic field. The Casimir pressure is obtained in each of the three limits and the situation of a magnetic field present between and outside the plates, as well as that of a magnetic field present only between the plates is examined. It is discovered that, in the small plate distance and high temperature limits, the repulsive pressure is less when the magnetic field is present between the plates but not outside, than it is when the magnetic field is present between and outside the plates.

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“…(27) is within 0.2 percent of the exact value for √ eBa ≥ 2 and √ eB/T ≥ 2, with an accuracy similar to that of Eqs. (21) and (22).…”

Section: Discussionmentioning

confidence: 99%

“…, when the magnetic field is present between the plates and outside. I use (22), (28) and obtain the high temperature limit in the case of a −1 ≫ √ eB,…”

Section: Casimir Pressurementioning

confidence: 99%

Magnetic field corrections to the repulsive Casimir effect at finite temperature

Erdas

2016

Int. J. Mod. Phys. A

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“…Comparisons with results found in the literature [34][35][36] for scalar and spinor fields in the presence of an ordinary magnetic field will be made. Therefore, the present paper seeks to investigate the effects on the boundaries of the quantum vacuum associated to the Abelian SU(2)Yang-Mills field fluctuations in the chromomagnetic-like background, considering also the presence of nontrivial topologies.…”

Section: Introductionmentioning

confidence: 91%

“…As expected, we found a divergent part in the Casimir energy and a contribution of the stable part expressed by Eq. ( 17), and can be once more compared with the cases of a massless charged scalar particle or a spinorial one under the influence of an ordinary constant magnetic field in this regime [35]. In this case, the Casimir energies differ from those ones of the Y-M perturbations in a chromomagnetic-like field just by numerical factors.…”

Section: Conclusion and Remarksmentioning

confidence: 99%

Quantum Vacuum Fluctuations in a Chromomagnetic-Like Background

et al. 2018

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In this paper we study the effects associated to quantum vacuum fluctuations of vectorial perturbations of the Abelian SU(2) Yang-Mills field in a static and homogeneous chromomagnetic-like background field, at zero temperature. We use periodic and antiperiodic boundary conditions in order to calculate the Casimir energy by means of the frequency sum technique and of the regularization method based on zeta functions, analyzing its behavior in the weak and strong coupling regimes. We compare the obtained results with the similar ones found for scalar and spinor fields placed in an ordinary magnetic field background. We show that only in the weak coupling regime the non-trivial topology of the system encoded in the antiperiodic boundary conditions changes the nature of the Casimir force with respect to the periodic ones. Considering the weak coupling scenario, we show that the introduction of a third polarization state in the perturbations makes manifest the effects on the Casimir energy due to the coupling with the chromomagnetic-like background field, for both the boundary conditions. Finally, in the strong coupling regime, in which the quantum vacuum is not stable due to the Nielsen-Olesen instabilities, we evaluate the effects of a compact extra dimension on its stabilization.

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“…Authors have investigated magnetic corrections to the Casimir effect caused by a charged scalar field in the standard Lorentz symmetric space-time [20], and also the combination of thermal and magnetic effects within standard spacetime [21][22][23], and recently a paper has been published that investigates vacuum magnetic corrections to the Casimir effect of a scalar field that breaks Lorentz symmetry [24] however, there has not been a study of the combination of thermal and magnetic corrections to the Casimir effect of a scalar field that breaks Lorentz invariance. This paper, a sequel to my previous work [24], intends to fill that gap and study the effect of a constant magnetic field B, perpendicular to the plates, on the Casimir energy and pressure caused by a scalar field that breaks Lorentz symmetry and is in thermal equilibrium with a heat reservoir at finite temperature T .…”

Section: Introductionmentioning

confidence: 99%

Casimir effect of a Lorentz-violating scalar in magnetic field

Erdas

2020

Int. J. Mod. Phys. A

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In this paper, I study the Casimir effect caused by a charged and massive scalar field that breaks Lorentz invariance in a CPT-even, aether-like manner. I investigate the case of a scalar field that satisfies Dirichlet or mixed (Dirichlet–Neumann) boundary conditions on a pair of very large plane parallel plates. The case of Neumann boundary conditions is straightforward and will not be examined in detail. I use the [Formula: see text]-function regularization technique to study the effect of a constant magnetic field, orthogonal to the plates, on the Casimir energy and pressure. I investigate the cases of a timelike Lorentz asymmetry, a spacelike Lorentz asymmetry in the direction perpendicular to the plates, and a spacelike asymmetry in the plane of the plates and, in all those cases, derive simple analytic expressions for the zeta function, Casimir energy and pressure in the limits of small plate distance, strong magnetic field and large scalar field mass. I discover that the Casimir energy and pressure, and their magnetic corrections, all strongly depend on the direction of the unit vector that implements the breaking of the Lorentz symmetry.

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Finite temperature Casimir effect for massive scalars in a magnetic field

Cited by 10 publications

References 32 publications

Magnetic field corrections to the repulsive Casimir effect at finite temperature

Magnetic field corrections to the repulsive Casimir effect at finite temperature

Quantum Vacuum Fluctuations in a Chromomagnetic-Like Background

Casimir effect of a Lorentz-violating scalar in magnetic field

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