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We compute the influence of an external magnetic field on the Casimir energy of a massive charged scalar field confined between two parallel infinite plates. For this case the obtained result shows that the magnetic field inhibits the…

High Energy Physics - Theory · Physics 2008-11-26 M. V. Cougo-Pinto , C. Farina , M. R. Negrao , A. C. Tort

A novel technique based on Schwinger's proper time method is applied to the Casimir problem of the M.I.T. bag model. Calculations of the regularized vacuum energies of massless scalar and Dirac spinor fields confined to a static and…

High Energy Physics - Theory · Physics 2011-09-13 R. Hofmann , M. Schumann , R. D. Viollier

The Casimir effect is an interesting phenomenon in the sense that it provides us with one of the primitive means of extracting the energy out of the vacuum. Since the original work of Casimir a number of works have appeared in extending the…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. Abe , J. Hashida , T. Muta , A. Purwanto

We theoretically investigate the impact of the anomalous magnetic moment (AMM) of Dirac fermions on the fermionic Casimir effect under magnetic fields. We formulate it as an extension of the well-known Lifshitz formula. From our formula, we…

High Energy Physics - Phenomenology · Physics 2026-05-04 Daisuke Fujii , Katsumasa Nakayama , Kei Suzuki

The Casimir stress on two parallel plates in a de Sitter background corresponding to different metric signatures and cosmological constants is calculated for massless scalar fields satisfying Robin boundary conditions on the plates. Our…

General Relativity and Quantum Cosmology · Physics 2010-10-27 M R Setare

Inspired by the extension of the Standard Model, we analyzed the effects of the spacetime anisotropies on a massive Dirac field through a non-minimal CPT-odd coupling in the Dirac equation, where we proposed a possible scenario that…

High Energy Physics - Theory · Physics 2019-11-04 R. L. L. Vitória , H Belich

We show that in order to account for the repulsive Casimir effect in the parallel plate geometry in terms of the quantum version of the Lorentz force, virtual surface densities of magnetic charges and currents must be introduced. The…

Quantum Physics · Physics 2013-04-18 C. Farina , F. C. Santos , A. C. Tort

We analyze the Casimir densities and forces associated with a massive scalar quantum field confined between two parallel plates in a D-dimensional cosmic string spacetime. The plates are placed orthogonal to the string and the field obeys…

High Energy Physics - Theory · Physics 2018-05-03 E. R. Bezerra de Mello , A. A. Saharian , S. V. Abajyan

In this research, we study fermion-antifermion pairs in a magnetized spacetime induced by a point-like source and characterized by an angular deficit parameter, \(\alpha\). In the rest frame, the relative motion (\(\propto r\)) of these…

General Relativity and Quantum Cosmology · Physics 2025-02-04 A. Guvendi , O. Mustafa

The Casimir effect due to conformally coupled bulk scalar fields on background of conformally flat brane-world geometries is investigated. In the general case of mixed boundary conditions formulae are derived for the vacuum expectation…

High Energy Physics - Theory · Physics 2008-11-26 A. A. Saharian , M. R. Setare

We apply the quasi-local stress-energy tensor formalism to the Casimir effect of a scalar field confined between conducting planes located in a static spacetime. We show that the surface energy vanishes for both Neumann and Dirichlet…

High Energy Physics - Theory · Physics 2022-10-07 Borzoo Nazari

In a previous work we formulated a model of semitransparent dielectric surfaces, coupled to the electromagnetic field by means of an effective potential. Here we consider a setup with two dissimilar mirrors, and compute exactly the…

High Energy Physics - Theory · Physics 2023-06-06 F. E. Barone , F. A. Barone

We combine linear response theory and dimensional regularization in order to derive the dynamical Casimir force in the low frequency regime. We consider two parallel plates moving along the normal direction in $D-$dimensional space. We…

High Energy Physics - Theory · Physics 2009-11-07 L. A. S. Machado , P. A. Maia Neto

A path integral formulation is developed for the dynamic Casimir effect. It allows us to study arbitrary deformations in space and time of the perfectly reflecting (conducting) boundaries of a cavity. The mechanical response of the…

Quantum Physics · Physics 2008-11-26 Ramin Golestanian , Mehran Kardar

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…

High Energy Physics - Theory · Physics 2022-04-11 V. B. Bezerra , M. S. Cunha , C. R. Muniz , M. O. Tahim

When studying the Casimir effect in a quantum field theory setting, one can impose the boundary conditions by adding appropriate Dirac-delta functions to the path integral. In this paper, the limits of this approach are explored under…

High Energy Physics - Theory · Physics 2026-02-23 David Vercauteren

The violation of the Bell inequality for Dirac fermions is investigated in the cosmological de Sitter spacetime, in the presence of background electromagnetic fields of constant strengths. The orthonormal Dirac mode functions are obtained…

High Energy Physics - Theory · Physics 2021-11-16 Md Sabir Ali , Sourav Bhattacharya , Shankhadeep Chakrabortty , Shagun Kaushal

We consider a massive fermionic quantum field localized on a plane in external constant and homogeneous electric and magnetic fields. The magnetic field is perpendicular to the plane and the electric field is parallel. The complete set of…

High Energy Physics - Theory · Physics 2024-05-20 V. V. Parazian

We calculate modifications to the scalar Casimir force between two parallel plates due to space-time non-commutativity. We devise a heuristic approach to overcome the difficulties of describing boundaries in non-commutative theories and…

High Energy Physics - Theory · Physics 2008-11-26 Roberto Casadio , Alessandro Gruppuso , Benjamin Harms , Octavian Micu

In the present study, the first-order radiative correction to the Casimir energy for massive and massless scalar fields confined with mixed boundary conditions (Dirichlet-Neumann) between two points in \phi^4 theory was computed. Two issues…

High Energy Physics - Theory · Physics 2019-12-10 M. A. Valuyan