The influence of an external magnetic field on the fermionic Casimir effect

Cougo-Pinto, M. V.; Farina, C.; Tort, A. C.

doi:10.1590/s0103-97332001000100016

Cited by 8 publications

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“…Since in this case we have charged fields, we wondered if the virtual electronpositron pairs which are continuously created and destroyed from the Dirac vacuum would respond in such a way that the corresponding Casimir energy would be greatly amplified. This problem was considered for the first time in 1998 [65] (see also Ref. [66]).…”

Section: A Casimir Effect Under An External Magnetic Fieldmentioning

confidence: 99%

“…This problem was considered for the first time in 1998 [65] (see also Ref. [66]). The influence of an external magnetic field on the Casimir effect of a charged scalar field was considered in Ref.…”

Section: A Casimir Effect Under An External Magnetic Fieldmentioning

confidence: 99%

“…After a lengthy but straightforward calculation, it can be shown that the Casimir energy per unit area is given by [66] E(a,B)…”

Section: A Casimir Effect Under An External Magnetic Fieldmentioning

confidence: 99%

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The Casimir effect: some aspects

Farina

2006

Braz. J. Phys.

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We start this paper with a historical survey of the Casimir effect, showing that its origin is related to experiments on colloidal chemistry. We present two methods of computing Casimir forces, namely: the global method introduced by Casimir, based on the idea of zero-point energy of the quantum electromagnetic field, and a local one, which requires the computation of the energy-momentum stress tensor of the corresponding field.As explicit examples, we calculate the (standard) Casimir forces between two parallel and perfectly conducting plates and discuss the more involved problem of a scalar field submitted to Robin boundary conditions at two parallel plates. A few comments are made about recent experiments that undoubtedly confirm the existence of this effect. Finally, we briefly discuss a few topics which are either elaborations of the Casimir effect or topics that are related in some way to this effect as, for example, the influence of a magnetic field on the Casimir effect of charged fields, magnetic properties of a confined vacuum and radiation reaction forces on non-relativistic moving boundaries.

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Section: A Casimir Effect Under An External Magnetic Fieldmentioning

confidence: 99%

Section: A Casimir Effect Under An External Magnetic Fieldmentioning

confidence: 99%

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The Casimir effect: some aspects

Farina

2006

Braz. J. Phys.

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“…In particular, the results obtained in Ford (1980) for the massive spinor field indicate a mass dependent energy density which calls for a deeper investigation. Similar difficulties also appear in the case considered in Cougo-Pinto et al (2001) where the fermion field is also subjected to an external magnetic field.…”

Section: Introductionmentioning

confidence: 59%

“…This problem has been recently proposed in the context of Effective Quantum Electrodynamics using the so-called Schwinger proper-time method (Cougo-Pinto et al, 2001). However, a clear answer concerning the role of the external field on the fermionic Casimir energy density is yet an open problem which deserves further investigation.…”

Section: The Influence Of An External Fieldmentioning

confidence: 99%

Vacuum Effects on Massive Spinor Fields: S 1× R 3 Topology

Tomazelli

Costa

2006

Int J Theor Phys

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The aim of this work was to investigate the role played by an external field on the Casimir energy density for massive fermions under S 1 × R 3 topology. Both twistedand untwisted-spin connections are considered and the calculation in a closed form is performed using an alternative approach based on the combination of the analytic regularization method and the Euler-Maclaurin summation formula. It is shown that no mass scale appears in the final result and, therefore, Casimir effect arises only from the boundary conditions and vacuum fluctuations induced by the coupling with the external field.KEY WORDS: casimir effect; external field quantum electrodynamics.

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Casimir energy and gravitomagnetism

Sorge¹

2009

Class. Quantum Grav.

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In this paper, we discuss the influence of a gravitomagnetic field on the vacuum energy of a scalar quantum field confined in a Casimir cavity. To avoid complications which could obscure the pure gravitomagnetic effects on vacuum flucuations inside the cavity, we consider a somewhat idealized scenario, namely a Casimir cavity lying between two parallel massive walls, moving in opposite directions to each other. This motion provides the required gravitomagnetic field experienced by the quantum field in the cavity. Following Schwinger's proper-time approach, we evaluate the corrections to the Casimir energy in the framework of linearized gravity. At variance with what is expected in the presence of a pure magnetic or a gravitoelectric field, we did not find a first-order effect in the vacuum energy shift for the confined quantum field. We discuss and compare our results with those presented in other papers, also suggesting a physical explanation of such null effect.

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The influence of an external magnetic field on the fermionic Casimir effect

Cited by 8 publications

References 0 publications

The Casimir effect: some aspects

The Casimir effect: some aspects

Vacuum Effects on Massive Spinor Fields: S 1× R 3 Topology

Casimir energy and gravitomagnetism

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