Casimir Effect at finite temperature for the CPT-even extension of QED

Silva, L. M.; Belich, H.; Helayël-Neto, J. A.

doi:10.48550/arxiv.1605.02388

Cited by 5 publications

(6 citation statements)

References 27 publications

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“…The first studies of the Casimir effect in the context of Lorentz symmetry breaking were carried out in quantum electrodynamics (QED) [15][16][17]. This naturally calls interest to these studies within other field theory models.…”

Section: Introductionmentioning

confidence: 99%

Thermal corrections to the Casimir energy in a Lorentz-breaking scalar field theory

2018

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In this paper, we investigate the thermal effect on the Casimir energy associated with a massive scalar quantum field confined between two large parallel plates in a CP T -even, aether-like Lorentz-breaking scalar field theory. In order to do that we consider a nonzero chemical potential for the scalar field assumed to be in thermal equilibrium at some finite temperature. The calculations of the energies are developed by using the Abel-Plana summation formula, and the corresponding results are analyzed in several asymptotic regimes of the parameters of the system, like mass, separations between the plates and temperature.

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Section: Introductionmentioning

confidence: 99%

Thermal corrections to the Casimir energy in a Lorentz-breaking scalar field theory

2018

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“…In this context, study of the implications of the Lorentz symmetry breaking within the Casimir effect becomes very natural. The first studies of the Casimir effect in the Lorentz-breaking theories have been carried out in [21][22][23] for different Lorentz-breaking extensions of the QED. However, up to now, there was no detailed studies of the Casimir effect specially devoted to the Lorentz-breaking extensions of the scalar field theory.…”

Section: Introductionmentioning

confidence: 99%

Casimir effects in Lorentz-violating scalar field theory

2017

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In this paper we consider a Lorentz-breaking extension of the theory for a real massive scalar quantum field in the region between two large parallel plates, with our manner to break the Lorentz symmetry is CPT-even, aether-like. For this system we calculated the Casimir energy considering different boundary conditions. It turns out to be that the Casimir energy strongly depends on the direction of the constant vector implementing the Lorentz symmetry breaking, as well as on the boundary conditions.Comment: 22 pages, version accepted to PR

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“…is the trace of the matrix (17) which can be absorbed into the definition of the electric charges q 1 and q 2 . The extra factor proportional to 3 i,j=1 K ij (F ) a i a j is an evident contribution which evinces the Lorentz symmetry breaking, leading us to an anisotropic interaction between the charges.…”

Section: Point-like Chargesmentioning

confidence: 99%

“…The photon sector of the SME has been extensively investigated in literature. We can mention, for instance, the vacuum emission of Cherenkov radiation [13][14][15], modifications on the Casimir effect [16,17], studies con-cerning the radiative generation of the CFJ term [18][19][20][21][22], modifications in the dispersion relations [23][24][25][26][27][28][29][30][31], effects on the classical electrodynamics [32][33][34][35][36], effects induced in the hydrogen atom [37], the photon field quantization [38][39][40], effects of Aharonov-Bohm type [41][42][43] and so on.…”

Section: Introductionmentioning

confidence: 99%

Field Sources in a CPT-Even Lorentz-Violation Maxwell Electrodynamics

Borges

Barone

2019

Braz J Phys

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This paper is dedicated to the study of interactions between external sources for the electromagnetic field in a model which exhibits Lorentz symmetry breaking. We investigate such interactions in the CPT-even photon sector of the Standard Model Extension (SME), where the Lorentz symmetry breaking is caused by a background tensor K (F )αβστ . Since the background tensor is very tiny, we treat it perturbatively up to first order and we focus on physical phenomena which have no counterpart in Maxwell electrodynamics. We consider effects related to field sources describing point-like charges, straight line currents and Dirac strings. We also investigate the so called Aharonov-Bohm bound states in a Lorentz-symmetry breaking scenario. We use atomic experimental data to verify if we could impose upper bounds to the Lorentz-symmetry breaking parameters involved. We also use some overestimated constrains for the Lorentz-symmetry breaking parameters in order to investigate if the obtained results could be relevant for condensed matter systems.

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Casimir Effect at finite temperature for the CPT-even extension of QED

Cited by 5 publications

References 27 publications

Thermal corrections to the Casimir energy in a Lorentz-breaking scalar field theory

Thermal corrections to the Casimir energy in a Lorentz-breaking scalar field theory

Casimir effects in Lorentz-violating scalar field theory

Field Sources in a CPT-Even Lorentz-Violation Maxwell Electrodynamics

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