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The energy momentum tensor is used to introduce the Casimir force of the massive scalar field acting on a nonpenetrating surface. This expression can be used to evaluate the vacuum force by employing the appropriate field operators. To…

Quantum Physics · Physics 2014-06-05 Sonia Mobassem

Casimir energy in presence of a weak gravitational field is discussed taking into account the issues related to energy and its conservation in a curved background. It is well-known that there are inherent difficulties in defining energy in…

General Relativity and Quantum Cosmology · Physics 2020-11-24 Francesco Sorge

In this paper, we study the Casimir effect in the classical geometry of two parallel conducting plates, separated by a distance $L$, due to the presence of a minimal length $\lambda$ arising from a background independent (polymer)…

High Energy Physics - Phenomenology · Physics 2020-02-26 C. A. Escobar , E. Chan-López , A. Martín-Ruiz

We calculate the Casimir force between parallel plates for a massless scalar field. When adding the energy of normal modes, we avoid infinities by using a discrete spacetime lattice; however, this approach proves ineffective as long as both…

Delving into spring-like helical configurations, such as DNA within our cells, motivates physicists to inquire about the effects of such structures in the realm of quantum field theory, specifically unraveling their manifestation of…

High Energy Physics - Theory · Physics 2024-08-14 M. A. Valuyan

The vacuum expectation values of the energy--momentum tensor are investigated for massless scalar fields satisfying Dicichlet or Neumann boundary conditions, and for the electromagnetic field with perfect conductor boundary conditions on…

High Energy Physics - Theory · Physics 2011-07-19 R. M. Avagyan , A. A. Saharian , A. H. Yeranyan

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

Two perfectly conducting, infinite parallel plates will restrict the electromagnetic vacuum, producing an attractive force. This phenomenon is known as the Casimir effect. Here we use electromagnetic field correlators to define the local…

Quantum Physics · Physics 2023-12-05 Matthew J. Gorban , William D. Julius , Gerald B. Cleaver

In this work the Casimir effect is studied for scalar fields in the presence of boundaries and under the influence of arbitrary smooth potentials of compact support. In this setting, piston configurations are analyzed in which the piston is…

High Energy Physics - Theory · Physics 2013-02-27 Matthew Beauregard , Guglielmo Fucci , Klaus Kirsten , Pedro Morales

The discussion of vacuum energy is currently a subject of great theoretical importance, specially concerning the cosmological constant problem in General Relativity. From Quantum Field Theory, it is stated that vacuum states subject to…

High Energy Physics - Theory · Physics 2020-02-07 A. P. C. M. Lima , G. Alencar , C. R. Muniz , R. R. Landim

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

The Standard-Model Extension (SME) is the general phenomenological framework used to investigate Lorentz violation at the level of effective field theory. It has been used to obtain stringent experimental bounds on Lorentz violation in a…

General Relativity and Quantum Cosmology · Physics 2019-10-16 Robert Bluhm , Hannah Bossi , Yuewei Wen

We calculate the renormalized vacuum energy of a massless scalar field confined between two nearby parallel plates formed by ideal uncharged conductors, placed tangentially to the surface of a sphere with mass M and radius R. This study…

General Relativity and Quantum Cosmology · Physics 2014-02-18 C. R. Muniz , V. B. Bezerra , M. S. Cunha

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

General violations of Lorentz symmetry can be described by the Standard-Model Extension (SME) framework. The SME predicts modifications to existing physics and can be tested in high-precision experiments. By looking for small deviations…

General Relativity and Quantum Cosmology · Physics 2016-11-01 Rui Xu

The original Casimir effect results from the difference in the vacuum energies of the electromagnetic field, between that in a region of space with boundary conditions and that in the same region without boundary conditions. In this paper…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Daniel Muller , Helio V. Fagundes

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 work I investigate the finite temperature Casimir effect due to a massive and charged scalar field that breaks Lorentz invariance in a CPT-even, aether-like way. I study the cases of Dirichlet and mixed (Dirichlet-Neumann) boundary…

High Energy Physics - Theory · Physics 2021-08-11 Andrea Erdas

We calculate the finite vacuum energy density of the scalar and electromagnetic fields inside a Casimir apparatus made up of two conducting parallel plates in a general weak gravitational field. The metric of the weak gravitational field…

High Energy Physics - Theory · Physics 2015-10-28 Borzoo Nazari

We compute the finite temperature Casimir energy for massive scalar field with general curvature coupling subject to Dirichlet or Neumann boundary conditions on the walls of a closed cylinder with arbitrary cross section, located in a…

High Energy Physics - Theory · Physics 2009-12-04 L. P. Teo