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The interaction between the quantum vacuum and time-dependent boundaries can produce particles via the dynamical Casimir effect. It is known that, for asymmetric Casimir systems, there is an imbalance in the particle production on either…

Quantum Physics · Physics 2023-10-04 Matthew J. Gorban , William D. Julius , Ramesh Radhakrishnan , Gerald B. Cleaver

We consider the interaction between a spherical plasma sheet and a planar plasma sheet due to the vacuum fluctuations of electromagnetic fields. We use the mode summation approach to derive the Casimir interaction energy and study its…

Quantum Physics · Physics 2015-06-18 L. P. Teo

We analyze the high temperature (or classical) limit of the Casimir effect. A useful quantity which arises naturally in our discussion is the ``relative Casimir energy", which we define for a configuration of disjoint conducting boundaries…

High Energy Physics - Theory · Physics 2014-11-18 J. Feinberg , A. Mann , M. Revzen

We evaluate the effective action for the Dynamical Casimir Effect (DCE) for a real scalar field in d+1 dimensions within the worldline formulation of quantum field theory. The scalar field is coupled to a spacetime-dependent mass term,…

High Energy Physics - Theory · Physics 2026-04-16 C. D. Fosco , B. C. Guntsche

We study the influence of a background uniform magnetic field and boundary conditions on the vacuum of a quantized charged spinor matter field confined between two parallel neutral plates; the magnetic field is directed orthogonally to the…

High Energy Physics - Theory · Physics 2015-05-06 Yu. A. Sitenko

We consider a system consisting of a quantum, massless, real scalar field, in the presence of nonlinear mirrors: infinite parallel planes, upon which the field satisfies nonlinear boundary conditions. The latter are implemented by…

High Energy Physics - Theory · Physics 2015-12-30 C. D. Fosco , L. E. Oxman

We review the derivative expansion (DE) method in Casimir physics, an approach which extends the proximity force approximation (PFA). After introducing and motivating the DE in contexts other than the Casimir effect, we present different…

Quantum Physics · Physics 2024-03-04 César D. Fosco , Fernando C. Lombardo , Francisco D. Mazzitelli

The Casimir interaction is induced by electromagnetic fluctuations between objects and it is strongly dependent upon the electronic and optical properties of the materials making up the objects. Here we investigate this ubiquitous…

We study a coupled system that describes the interacting dynamics between a bulk field, confined to a finite region with timelike boundary, and a boundary observable. In our system the dynamics of the boundary observable prescribes…

High Energy Physics - Theory · Physics 2020-04-14 Benito A. Juárez-Aubry , Ricardo Weder

We investigate the effective long-range interactions between intruder particles immersed in a randomly driven granular fluid. The effective Casimir-like force between two intruders, induced by the fluctuations of the hydrodynamic fields,…

Soft Condensed Matter · Physics 2013-12-04 M. Reza Shaebani , Jalal Sarabadani , Dietrich E. Wolf

A multiple scattering formulation is used to calculate the force, arising from fluctuating scalar fields, between distinct bodies described by $\delta$-function potentials, so-called semitransparent bodies. (In the limit of strong coupling,…

High Energy Physics - Theory · Physics 2008-11-26 Kimball A. Milton , Jef Wagner

A novel approach for calculating Casimir forces between periodically deformed objects is developed. This approach allows, for the first time, a rigorous non-perturbative treatment of the Casimir effect for disconnected objects beyond…

Statistical Mechanics · Physics 2010-12-17 Thorsten Emig

The essence of the path integral method in quantum physics can be expressed in terms of two relations between unitary propagators, describing perturbations of the underlying system. They inherit the causal structure of the theory and its…

Quantum Physics · Physics 2020-05-20 Detlev Buchholz , Klaus Fredenhagen

Quantities associated with Casimir forces are calculated in a model wave system of one spatial dimension with Dirichlet or Neumann boundary conditions. 1)Due to zero-point fluctuations, a partition is attracted to the walls of a box if the…

Quantum Physics · Physics 2009-11-07 Timothy H. Boyer

Theory of the Casimir effect is presented in several examples. Casimir - Polder type formulas, Lifshitz theory and theory of the Casimir effect for two gratings separated by a vacuum slit are derived. Equations for the electromagnetic field…

Quantum Physics · Physics 2015-06-12 Valery N. Marachevsky

Vacuum polarization (or Casimir) energies can be straightforwardly computed from scattering data for static field configurations whose interactions with the fluctuating field are frequency independent. In effective theories, however,such…

High Energy Physics - Theory · Physics 2014-10-08 N. Graham , M. Quandt , H. Weigel

Casimir interactions are not pair-wise additive. This property leads to collective effects that we study for a pair of objects near a conducting wall. We employ a scattering approach to compute the interaction in terms of fluctuating…

Statistical Mechanics · Physics 2015-05-13 P. Rodriguez-Lopez , S. J. Rahi , T. Emig

We calculate radiative corrections to the Casimir effect for the massive complex scalar field with the $\lambda\phi^{4}$ self-interaction in $d+1$ dimensions. We consider the field submitted to four types of boundary conditions on two…

High Energy Physics - Theory · Physics 2007-05-23 R. M. Cavalcanti , C. Farina , F. A. Barone

We review various applications of the multiple scattering approach to the calculation of Casimir forces between separate bodies, including dispersion, wedge geometries, annular pistons, and temperature dependence. Exact results are obtained…

High Energy Physics - Theory · Physics 2015-05-19 Kimball A. Milton , Jef Wagner , Prachi Parashar , Ines Cavero-Pelaez , Iver Brevik , Simen A. Ellingsen

According to the experimentally observed theory of the static Casimir effect, two metal, uncharged, conductive and flat plates attract each other in vacuum >.Herein, equations of motion of the plates which are influenced by Casimir…

General Physics · Physics 2007-05-23 Mohammad Mansouryar