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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

The conventional Casimir effect has been studied in the continuous spacetime, but to elucidate its counterpart in the lattice space is an important subject. Here, we discuss various types of Casimir effects for quantum fields on the…

High Energy Physics - Lattice · Physics 2023-01-20 Katsumasa Nakayama , Kei Suzuki

We introduce a general, simple and effective method of evaluating the zero point energy of a quantum field under the influence of arbitrary boundary conditions imposed on the field on flat surfaces perpendicular to a chosen spatial…

Quantum Physics · Physics 2007-05-23 F. C. Santos , A. C. Tort

The fermion condensate (FC) is investigated for a (2+1)-dimensional massive fermionic field confined on a truncated cone with an arbitrary planar angle deficit and threaded by a magnetic flux. Different combinations of the boundary…

High Energy Physics - Theory · Physics 2021-03-24 A. A. Saharian , T. A. Petrosyan , A. A. Hovhannisyan

We investigate the local characteristics of the Fulling-Rindler vacuum for a massive Dirac field induced by a planar boundary moving with constant proper acceleration in $(D+1)$-dimensional flat spacetime. On the boundary, the field…

High Energy Physics - Theory · Physics 2026-04-22 A. A. Saharian , L. Sh. Grigoryan , V. Kh. Kotanjyan

Casimir effect in most general terms may be understood as a backreaction of a quantum system causing an adiabatic change of the external conditions under which it is placed. This paper is the second installment of a work scrutinizing this…

High Energy Physics - Theory · Physics 2009-11-11 Andrzej Herdegen

In this paper the quantum vacuum energies induced by massive fluctuations of one real scalar field on a configuration of two partially transparent plates are analysed. The physical properties of the infinitely thin plates are characterized…

High Energy Physics - Theory · Physics 2013-06-17 Jose M. Munoz-Castaneda , J. Mateos Guilarte , A. Moreno Mosquera

We investigate quantum vacuum effects for a massive scalar field, induced by two planar boundaries in background of a linearly expanding spatially flat Friedmann-Robertson-Walker spacetime for an arbitrary number of spatial dimensions. For…

High Energy Physics - Theory · Physics 2020-02-18 A. A. Saharian , T. A. Petrosyan , S. V. Abajyan , B. B. Nersisyan

We investigate the Casimir effect at finite temperature for a charged scalar field in the presence of an external uniform and constant magnetic field, perpendicular to the Casimir plates. We have used a boundary condition characterized by a…

High Energy Physics - Theory · Physics 2007-05-23 M. V. Cougo-Pinto , C. Farina , J. F. M. Mendes , A. Tort

The Casimir effect is induced by the interplay between photon fields and boundary conditions, and in particular, photon fields modified in axion electrodynamics may lead to the sign-flipping of the Casimir energy. We propose a theoretical…

High Energy Physics - Theory · Physics 2024-03-06 Katsumasa Nakayama , Kei Suzuki

We evaluate the Hadamard function, the vacuum expectation values (VEVs) of the field squared and the energy-momentum tensor for a massive scalar field with general curvature coupling parameter in the geometry of two parallel plates on a…

High Energy Physics - Theory · Physics 2017-04-05 E. R. Bezerra de Mello , A. A. Saharian , M. R. Setare

The vacuum expectation value of the energy-momentum tensor and the Casimir forces are investigated for a massive scalar field with an arbitrary curvature coupling parameter in the geometry of two parallel plates, on the background of de…

High Energy Physics - Theory · Physics 2011-12-01 A. A. Saharian

Vacuum expectation values of the energy-momentum tensor and the Casimir forces are evaluated for scalar and electromagnetic fields in the geometry of two curved boundaries on background of the Robertson-Walker spacetime with negative…

High Energy Physics - Theory · Physics 2010-11-12 A. A. Saharian , M. R. Setare

We calculate the renormalized vacuum energy density for a massless scalar field confined between two nearby parallel plates formed by ideal uncharged conductors, placed very close to the surface of a rotating spherical gravitational source…

High Energy Physics - Theory · Physics 2015-06-18 V. B. Bezerra , H. F. Mota , C. R. Muniz

We study the finite-temperature Casimir effect for a massless scalar field confined between two parallel plates in a Schwarzschild-like wormhole spacetime. Imposing Dirichlet boundary conditions, we compute the renormalized Casimir free…

High Energy Physics - Theory · Physics 2026-05-27 Arista Romadani , Apriadi Salim Adam , Ar Rohim , Bintoro Anang Subagyo , Agus Purwanto

We revisit the path integral computation of the Casimir energy between two infinite parallel plates placed in a QED vacuum. We implement perfectly magnetic conductor boundary conditions (as a prelude to the dual superconductor picture of…

High Energy Physics - Theory · Physics 2020-08-05 David Dudal , Pablo Pais , Luigi Rosa

We evaluate quantum effects due to a $2$-component Dirac field in $2+1$ space-time dimensions, coupled to domain-wall like defects with a smooth shape. We show that those effects induce non trivial contributions to the (shape-dependent)…

High Energy Physics - Theory · Physics 2016-08-03 C. D. Fosco , F. D. Mazzitelli

We apply the physically more appealing MIT Bag boundary conditions to study the Casimir effect on the lattice. Employing the formalism of arXiv:2005.10758 to calculate the Casimir energy for free lattice fermions, we show that the results…

High Energy Physics - Lattice · Physics 2022-11-15 Yash V. Mandlecha , Rajiv V. Gavai

In this paper, we calculate the next to the leading order Casimir energy for real massive and massless scalar fields within $\lambda\phi^{4}$ theory, confined between two parallel plates with the Dirichlet boundary condition in two spatial…

High Energy Physics - Theory · Physics 2014-11-20 S. S. Gousheh , R. Moazzemi , M. A. Valuyan

Non-local boundary conditions have been considered in theoretical high-energy physics with emphasis on one-loop quantum cosmology, one-loop conformal anomalies, Bose-Einstein condensation models and spectral branes. In the present paper,…

High Energy Physics - Theory · Physics 2009-04-08 Aram Saharian , Giampiero Esposito