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The Casimir effect, a key observable realization of vacuum fluctuations, is usually taught in graduate courses on quantum field theory. The growing importance of Casimir forces in microelectromechanical systems motivates this subject as a…

Other Condensed Matter · Physics 2009-12-14 L. Palova , P. Chandra , P. Coleman

The renormalization program in every renormalized theory should be run consistently with the type of boundary condition imposed on quantum fields. To maintain this consistency, the counterterms usually appear in the position-dependent form.…

High Energy Physics - Theory · Physics 2020-06-02 M. A. Valuyan

The Casimir force, which results from the confinement of the quantum mechanical zero-point fluctuations of the electromagnetic fields, has received significant attention in recent years for its effect on micro- and nano-scale mechanical…

Atomic Physics · Physics 2009-11-13 J. N. Munday , Federico Capasso

Electromagnetic vacuum fluctuations have observable consequences, like the Casimir force between mirrors in vacuum. This force is now measured with good accuracy and agreement with theory when the effect of imperfect reflection of mirrors…

Quantum Physics · Physics 2007-05-23 Cyriaque Genet , Francesco Intravaia , Astrid Lambrecht , Serge Reynaud

We compute an analog Casimir effect in a one-dimensional spinless Luttinger liquid confined to a segment in the presence of a nearly-impenetrable partition dividing the segment into two compartments. The Casimir interaction is found to be a…

Mesoscale and Nanoscale Physics · Physics 2014-11-18 Eugene B. Kolomeisky , Joseph P. Straley , Michael Timmins

Motivated by a desire to understand quantum fluctuation energy densities and stress within a spatially varying dielectric medium, we examine the vacuum expectation value for the stress tensor of a scalar field with arbitrary conformal…

High Energy Physics - Theory · Physics 2016-05-17 Kimball A. Milton , Stephen A. Fulling , Prachi Parashar , Pushpa Kalauni , Taylor Murphy

In this article, we present a nano-electromechanical system (NEMS) designed to detect changes in the Casimir Energy. The Casimir effect is a result of the appearance of quantum fluctuations in the electromagnetic vacuum. Previous…

In this paper we consider different classical effects in a model for a scalar field incorporating Lorentz symmetry breaking due to the presence of a single background vector v^{\mu} coupled to its derivative. We perform an investigation of…

High Energy Physics - Theory · Physics 2020-05-26 L. H. C. Borges , A. F. Ferrari , F. A. Barone

Based on the theory of macroscopic quantum electrodynamics, we generalize the expression of the Casimir force for nonreciprocal media. The essential ingredient of this result is the Green's tensor between two nonreciprocal semi-infinite…

We propose experiments that might be set up to detect the increase in the velocity of light in a vacuum in the laboratory frame for photons travelling between (and perpendicular to) the Casimir plates in a vacuum. The Casimir plates are two…

General Physics · Physics 2007-05-23 Tom Ostoma , Mike Trushyk

A new method based on the Monte-Carlo calculation on the lattice is proposed to study the Casimir effect in the noncompact lattice QED. We have studied the standard Casimir problem with two parallel plane surfaces (mirrors) and oblique…

High Energy Physics - Lattice · Physics 2010-05-25 Oleg Pavlovsky , Maxim Ulybyshev

Dirichlet boundary conditions on a surface can be imposed on a scalar field, by coupling it quadratically to a $\delta$-like potential, the strength of which tends to infinity. Neumann conditions, on the other hand, require the introduction…

High Energy Physics - Theory · Physics 2014-11-20 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

In this paper we investigate the vacuum densities for a massive scalar field with general curvature coupling in background of a (2+1)-dimensional spacetime corresponding to a cylindrical tube with a hemispherical cap. A complete set of mode…

General Relativity and Quantum Cosmology · Physics 2016-01-19 E. R. Bezerra de Mello , A. A. Saharian

We calculate quantum loop corrections to the stress-energy flux caused by moving mirrors. We consider massless, self-interacting, $\phi^4$, real scalar theory. In these calculations we encounter a new and quite unexpected subtleties due to…

High Energy Physics - Theory · Physics 2017-09-13 E. T. Akhmedov , S. O. Alexeev

Quantum vacuum energy has been known to have observable consequences since 1948 when Casimir calculated the force of attraction between parallel uncharged plates, a phenomenon confirmed experimentally with ever increasing precision. Casimir…

High Energy Physics - Theory · Physics 2009-11-07 Kimball A. Milton

Casimir forces are a manifestation of the change in the zero-point energy of the vacuum caused by the insertion of boundaries. We show how the Casimir force can be efficiently computed by consideration of the vacuum fluctuations that are…

Statistical Mechanics · Physics 2008-07-31 Eugene B. Kolomeisky , Joseph P. Straley

The vacuum expectation values for the energy-momentum tensor of a massive scalar field with general curvature coupling and obeying the Robin boundary condition on spherically symmetric boundaries in D-dimensional space are investigated. The…

High Energy Physics - Theory · Physics 2009-10-31 Aram A. Saharian

We calculate the Casimir force and free energy for plane metallic mirrors at non-zero temperature. Numerical evaluations are given with temperature and conductivity effects treated simultaneously. The results are compared with the…

Quantum Physics · Physics 2009-11-06 Cyriaque Genet , Astrid Lambrecht , Serge Reynaud

We present non-perturbative results of the Casimir potential in non-abelian gauge theories in (2+1)D and (3+1)D for SU(2) and SU(3) in the confined and deconfined phases. For the first time, geometries beyond parallel plates in (3+1)D…

High Energy Physics - Lattice · Physics 2025-05-07 Blessed Arthur Ngwenya

In this talk I review various developments in the past year concerning quantum vacuum energy, the Casimir effect. In particular, there has been continuing controversy surrounding the temperature correction to the Lifshitz formula for the…

High Energy Physics - Theory · Physics 2009-05-12 K. A. Milton