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We investigate the Casimir effect for a massless scalar field confined between two parallel semitransparent mirrors in a vacuum modified by spontaneous Lorentz symmetry breaking. Using Green's function techniques and a point-splitting…

High Energy Physics - Theory · Physics 2025-10-01 Román Linares , C. A. Escobar , A. Martín-Ruiz , E. Plácido

We study the Casimir effect in the framework of Standard Model Extension (SME). Employing the weak field approximation, the vacuum energy density {\epsilon} and the pressure for a massless scalar field confined between two nearby parallel…

High Energy Physics - Theory · Physics 2018-11-29 Massimo Blasone , Gaetano Lambiase , Luciano Petruzziello , Antonio Stabile

In this study, we consider the four-dimensional Maxwell electrodynamics extended with CPT-even Myers-Pospelov Lorentz-violating dimension-six operators to investigate the associated two-dimensional properties in the context of quantum…

High Energy Physics - Theory · Physics 2024-04-18 K. E. L. de Farias , M. A. Anacleto , F. A. Brito , E. Passos , Herondy Mota

The Casimir effect is one of the most remarkable consequences of the non-zero vacuum energy predicted by quantum field theory. In this paper we use a local approach to study the Lorentz violation effects of the minimal standard model…

High Energy Physics - Theory · Physics 2017-02-22 A. Martín-Ruiz , C. A. Escobar

This paper investigates the Casimir Energy modifications due to the Lorentz-violating CPT-even contribution in an extension of the scalar QED. We have considered the complex scalar field satisfying Dirichlet boundary conditions between two…

High Energy Physics - Theory · Physics 2023-02-20 M. C. Araújo , J. Furtado , R. V. Maluf

In this work, we investigate the violation of Lorentz symmetry through the Casimir effect. The Casimir effect is one of the most intriguing aspects of modern physics, representing a macroscopic quantum-origin force between two neutral…

High Energy Physics - Theory · Physics 2024-10-29 E. R. Bezerra de Mello , M. B. Cruz

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…

High Energy Physics - Theory · Physics 2017-09-01 M. B. Cruz , E. R. Bezerra de Mello , A. Yu. Petrov

The Casimir effect in an inhomogeneous dielectric is investigated using Lifshitz's theory of electromagnetic vacuum energy. A permittivity function that depends continuously on one Cartesian coordinate is chosen, bounded on each side by…

Quantum Physics · Physics 2015-05-14 T. G. Philbin , C. Xiong , U. Leonhardt

We determine the effect of Lorentz invariance violation in the vacuum energy and stress between two parallel plates separated by a distance $L$, in the presence of a massive real scalar field. We parametrize the Lorentz-violation in terms…

High Energy Physics - Theory · Physics 2020-07-06 C. A. Escobar , A. Martín-Ruiz , O. J. Franca , Marcos A. G. Garcia

We consider the vacuum energy of the electromagnetic field in the background of spherically symmetric dielectrics, subject to a cut-off frequency in the dispersion relations. The effect of this frequency dependent boundary condition between…

High Energy Physics - Theory · Physics 2007-05-23 H. Falomir , K. Rébora

We provide a review of both new experimental and theoretical developments in the Casimir effect. The Casimir effect results from the alteration by the boundaries of the zero-point electromagnetic energy. Unique to the Casimir force is its…

Quantum Physics · Physics 2008-11-26 M. Bordag , U. Mohideen , V. M. Mostepanenko

By the thermofield dynamics (TFD) formalism we obtain the energy-momentum tensor for the Electromagnetism with Lorentz Breaking Even term of the Standard Model Extended (SME) Sector in a topology $S^{1}\times S^{1}\times R^{2}$. We carry…

High Energy Physics - Theory · Physics 2016-05-10 L. M. Silva , H. Belich , J. A. Helayël-Neto

We study the Casimir effect in the classical geometry of two parallel conductive plates, separated by a distance $L$, for a Lorentz-breaking extension of the scalar field theory. The Lorentz-violating part of the theory is characterized by…

High Energy Physics - Theory · Physics 2020-05-20 C. A. Escobar , Leonardo Medel , A. Martín-Ruiz

This work investigates the influence of Lorentz symmetry breaking, introduced by an aether-like field $\alpha_\phi$, on the Casimir effect within a five-dimensional flat spacetime. By considering a quasiperiodic condition regulated by the…

High Energy Physics - Theory · Physics 2026-03-05 K. E. L. de Farias , M. A. Anacleto , A. A. Araújo Filho , M. B. Cruz , R. A. Dantas , Amilcar R. Queiroz , E. Passos

We investigate the Casimir effect as a probe of Lorentz symmetry violation for a real scalar field confined to a rectangular waveguide with Dirichlet boundary conditions. The field dynamics is governed by a Lorentz-violating extension of…

High Energy Physics - Theory · Physics 2026-03-10 M. B. Cruz , E. R. Bezerra de Mello , A. Martín-Ruiz

In this paper, we evaluate the Casimir energy and pressure for a massive fermionic field confined in the region between two parallel plates. In order to implement this confinement we impose the standard MIT bag boundary on the plates for…

High Energy Physics - Theory · Physics 2019-04-29 M. B. Cruz , E. R. Bezerra de Mello , A. Yu. Petrov

The presence of finite energy in quantum vacuum has profound implications to physics at the microscopic and macroscopic levels. One of the direct consequences of vacuum energy is the Casimir Force, which is a force of attraction experienced…

General Relativity and Quantum Cosmology · Physics 2009-09-29 G. Rajalakshmi

We investigate the fermionic Casimir effect for a Dirac field confined between two parallel plates with MIT bag boundary conditions in the presence of CPT-odd Lorentz-symmetry violation described by a constant axial background vector…

High Energy Physics - Theory · Physics 2026-04-13 A. Martín-Ruiz , M. B. Cruz , E. R. Bezerra de Mello

We study the effects of the minimal extension of the standard model including Lorentz violation on the Casimir force between two parallel conducting plates in vacuum. We provide explicit solutions for the electromagnetic field using scalar…

High Energy Physics - Phenomenology · Physics 2008-11-26 Mariana Frank , Ismail Turan

Following a field-theoretical approach, we study the scalar Casimir effect upon a perfectly conducting cylindrical shell in the presence of spontaneous Lorentz symmetry breaking. The scalar field is modeled by a Lorentz-breaking extension…

High Energy Physics - Theory · Physics 2021-09-22 A. M. Escobar-Ruiz , A. Martín-Ruiz , Escobar C. A. , Román Linares
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