The Casimir effect for parallel plates in the presence of compactified universal extra dimensions within the frame of Kaluza-Klein theory is analyzed. Having regularized and discussed the expressions of Casimir force in the limit, we show that the nature of Casimir force is repulsive if the distance between the plates is large enough and the higher-dimensional spacetime is, the greater the valu...

The influence of an external constant uniform magnetic field on the Casimir energy density of a Dirac field under antiperiodic (and periodic) boundary condition is computed by applying Schwinger’s proper time method. The result thus obtained shows that in principle, under suitable conditions, the magnetic field can enhance the fermionic Casimir energy density. Introduction The Casimir effect [1...

We analyze the high temperature (or classical) limit of the Casimir effect (for various massless fields). A simple physical argument suggests that the Casimir energy (as opposed to the Casimir free energy) should vanish in the classical limit. We check the validity of this argument for massless scalar field confined in a cavity with boundaries of arbitrary shape, using path integral formalism. ...

Abstract. It is shown that the commonly accepted definition for the Casimir scalar operators of the Poincaré group do not satisfy the properties of Casimir invariance when applied to the non-inertial motion of elementary particles while in the presence of external gravitational and electromagnetic fields, where general curvilinear coordinates are used to describe the momentum generators within ...

Recent progress in the simulation of Casimir forces between various objects has allowed traditional computational electromagnetic solvers to be used to find Casimir forces in arbitrary three-dimensional objects. The underlying theory to these approaches requires knowledge and manipulation of quantum field theory and statistical physics. We present a calculation of the Casimir force using the me...

Abstract. We have recently demonstrated that Casimir energy due to parallel plates, including its divergent parts, falls like conventional mass in a weak gravitational field. The divergent parts were suitably interpreted as renormalizing the bare masses of the plates. Here we corroborate our result regarding the inertial nature of Casimir energy by calculating the centripetal force on a Casimir...

We discuss and analyze the properties of Casimir forces acting between nonreciprocal objects in thermal equilibrium. By starting from fluctuation-dissipation theorem splitting force into those arising individual sources, we show that if all temperatures are equal, resulting is reciprocal derivable as gradient a (free) energy. While expression for free energy identical to one objects, there seve...

Fracton systems exhibit restricted mobility of their excitations due to the presence higher-order conservation laws. Here we study time evolution a one-dimensional fracton system with charge and dipole moment using random unitary circuit description. Previous work has shown that when operators act on four or more sites, an arbitrary initial state eventually thermalizes via universal subdiffusiv...

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 homogeneous dielectrics. The result for the Casimir stress is infinite everywhere inside the inhomogeneous region, a divergence that does not occur for piece-wi...

An exact solution for the Casimir force between two arbitrary dielectric gratings with the same period d is presented. The Casimir energy for two dielectric gratings or periodic dielectrics is expressed in terms of Rayleigh coefficients. The theory is applied to calculate the Casimir force in several cases of interest.