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Particle-antiparticle pairs are predicted by quantum field theory to appear as vacuum fluctuations. The model of the vacuum used here is postulated to have the following properties: To minimize the violation of conservation energy allowed…

Quantum Physics · Physics 2019-10-02 G. B. Mainland , Bernard Mulligan

We show through Schwinger's approach that in a static weak gravitational background, the Casimir Energy for a real massless scalar field obeying Dirichlet boundary conditions on rectangular plates is unaltered from it's flat space-time…

High Energy Physics - Theory · Physics 2021-02-03 A. P. C. M Lima , G. Alencar , R. R. Landim

In the presence of an external field, the imposition of specific boundary conditions can lead to interesting new manifestations of the Casimir effect. In particular, it is shown here that even a single conducting plate may experience a…

Quantum Physics · Physics 2009-11-10 Pervez Hoodbhoy

From a variational action with non-minimal coupling with a scalar field and classical scalar and fermionic interaction, cosmological field equations can be obtained. Imposing a FLRW metric the equations lead directly to a cosmological model…

General Relativity and Quantum Cosmology · Physics 2011-11-29 Samuel Lepe , Javier Lorca , Francisco Peña , Yerko Vásquez

An asymptotic model based on a reductive perturbative expansion of the drift kinetic and the Maxwell equations is used to demonstrate that, near the instability threshold, the nonlinear dynamics of mirror modes in a magnetized plasma with…

Plasma Physics · Physics 2015-05-13 E. A. Kuznetsov , T. Passot , P. L. Sulem

We study dynamics of a dark energy component nonminimally coupled to gravity on a moving domain wall. We use this setup to explain late-time accelerated expansion and crossing of the phantom divide line by the equation of state parameter of…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Kourosh Nozari , S. Davood Sadatian

Based on a perturbative approach, a series expansion in susceptibility function of the medium is obtained for the Casimir force between arbitrary shaped objects immersed in a scalar or vector fluctuating field in arbitrary dimensions.…

Quantum Physics · Physics 2015-06-05 Fardin Kheirandish , Marjan Jafari

The interaction of a quantum field with a background containing a Dirac delta function with support on a surface of codimension 1 represents a particular kind of matching conditions on that surface for the field. In this article we show…

High Energy Physics - Theory · Physics 2011-06-21 S. A. Franchino Viñas , P. A. G. Pisani

The Casimir force between parallel lines in a theory describing condensed vortices in a plane is determined. We make use of the relation between a Chern-Simons-Higgs model and its dualized version, which is expressed in terms of a dual…

High Energy Physics - Theory · Physics 2013-01-04 J. F. de Medeiros Neto , Rudnei O. Ramos , Carlos Rafael M. Santos

We propose a set of devices of simple geometrical design which may exhibit a permanent rotation due to quantum (vacuum) fluctuations. These objects - which have no moving parts - impose certain boundary conditions on quantum fluctuations…

Quantum Physics · Physics 2012-03-30 M. N. Chernodub

The effect of edges and apertures on the Casimir energy of an arrangement of plates and boundaries can be calculated in terms of an effective nonlocal lower-dimensional field theory that lives on the boundary. This formalism has been…

High Energy Physics - Theory · Physics 2013-06-05 Dimitra Karabali , V. P. Nair

The review of vacuum and matter restructuring in space-time with boundaries is presented. We consider phase properties of confining gauge theories and strongly interacting fermion systems. In particular, the chiral and deconfinement phase…

High Energy Physics - Theory · Physics 2022-08-09 Alexander Molochkov

In 1+3 (threading) formulation of general relativity spacetime behaves analogous to a medium with a specific index of refraction with respect to the light propagation. Accepting the reality of zero point energy, through the equivalence…

General Relativity and Quantum Cosmology · Physics 2010-10-07 M. Nouri-Zonoz

We consider the Casimir interaction, mediated by massless fermions, between a spherical defect and a flat potential barrier, assuming hard (bag-type) boundary conditions at both the barrier and the surface of the sphere. The computation of…

High Energy Physics - Theory · Physics 2015-07-06 Antonino Flachi , Lee-Peng Teo

We consider an aggregation model with nonlinear diffusion in domains with boundaries and investigate the zero diffusion limit of its solutions. We establish the convergence of weak solutions for fixed times, as well as the convergence of…

Analysis of PDEs · Mathematics 2018-09-05 Razvan C. Fetecau , Mitchell Kovacic , Ihsan Topaloglu

In a recent paper [arXiv:0904.2904] using a conjecture it is shown how one can calculate the effect of a weak stationary gravitational field on vacuum energy in the context of Casimir effect in an external gravitational field treated in 1+3…

General Relativity and Quantum Cosmology · Physics 2013-05-30 B. Nazari , M. Nouri-Zonoz

We study a massless Dirac field subjected to two alternative boundary conditions on two parallel thin walls, in d + 1 dimensions. The two configurations correspond to the system being even or odd under reflection about the midplane between…

High Energy Physics - Theory · Physics 2026-05-19 Aitor Fernández , César D. Fosco

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

The prototypical Casimir effect arises when a scalar field is confined between parallel Dirichlet boundaries. We study corrections to this when the boundaries themselves have apertures and edges. We consider several geometries: a single…

High Energy Physics - Theory · Physics 2011-11-02 Daniel Kabat , Dimitra Karabali , V. P. Nair

Non-equilibrium phase transitions of a scalar field in an expanding spacetime are discussed. These transitions are shown to lead, for appropriate potential energy functions, to a biased choice of vacuum structure which can be analytically…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Coulson , Z. Lalak , B. Ovrut