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Four-dimensional asymptotically-free large $N$ gauge theories compactified on $S^3_R \times \mathbb{R}$ have a weakly-coupled confining regime when $R$ is small compared to the strong scale. We compute the vacuum energy of a variety of…

High Energy Physics - Theory · Physics 2015-07-14 Gokce Basar , Aleksey Cherman , David A. McGady , Masahito Yamazaki

We analyze the thermal Casimir-Polder potential experienced by a ground-state molecule in a planar cavity and investigate the prospects for using such a set-up for molecular guiding. The resonant atom-field interaction associated with this…

Quantum Physics · Physics 2010-01-04 Simen A. Ellingsen , Stefan Yoshi Buhmann , Stefan Scheel

This communication concerns the structure of the electromagnetic quantum vacuum in a disclinated insulator. It is shown that a nonzero vacuum energy density appears when the rotational symmetry of a continuous insulating elastic medium is…

Condensed Matter · Physics 2009-10-28 Fernando Moraes

The existence of inequivalent representations in quantum field theory with {\it finitely} many degrees of freedom is shown. Their properties are exemplified and analysed for concrete and simple models. In particular the relations to…

High Energy Physics - Theory · Physics 2007-05-23 Ralf Kerschner

We calculate the Casimir energy for scalar and gauge fields in interaction with zero-width mirrors, including quantum effects due to the matter fields inside the mirrors. We consider models where those fields are either scalar or fermionic,…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

This paper derives a set of general relativistic Cardinal Equations for the equilibrium of an extended body in a uniform gravitational field. These equations are essential for a proper understanding of the mechanics of suspended…

High Energy Physics - Theory · Physics 2008-11-26 Giuseppe Bimonte , Enrico Calloni , Giampiero Esposito , Luigi Rosa

We compute the vacuum energy of a scalar field rotating with angular velocity $\Omega$ on a disk of radius $R$ and with Dirichlet boundary conditions. The rotation is introduced by a metric obtained by a Galilean transformation from a rest…

High Energy Physics - Theory · Physics 2025-06-09 M. Bordag , I. G. Pirozhenko

Techniques of zero-temperature field theory that have found application in the analysis of field theory at finite temperature are revisited. Specifically, several of the results that are discussed are relevant to the study of…

High Energy Physics - Phenomenology · Physics 2008-02-03 R. Jackiw , notes by G. Amelino-Camelia

In this work I investigate the finite temperature Casimir effect due to a massive and charged scalar field that breaks Lorentz invariance in a CPT-even, aether-like way. I study the cases of Dirichlet and mixed (Dirichlet-Neumann) boundary…

High Energy Physics - Theory · Physics 2021-08-11 Andrea Erdas

Some exact high temperature expansions are derived using a temperature inversion symmetry of the internal energy for conformal scalars and spinors on the Einstein Universe.

General Relativity and Quantum Cosmology · Physics 2024-03-15 J. S. Dowker

We calculate the total internal energy, total energy density and pressure, and the free energy for the neutrino and electromagnetic fields in Einstein and closed Friedmann cosmological models. The Casimir contributions to all these…

General Relativity and Quantum Cosmology · Physics 2015-05-30 V. B. Bezerra , V. M. Mostepanenko , H. F. Mota , C. Romero

We consider and review the emergence of singular energy densities and field fluctuations at sharp boundaries or point-like field sources in the vacuum. The presence of singular energy densities of a field may be relevant from a conceptual…

We study the back reaction effect of massless minimally coupled scalar field at finite temperatures in the background of Einstein universe. Substituting for the vacuum expectation value of the components of the energy-momentum tensor on the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. B. Altaie , M. R. Setare

The discussion of vacuum energy is currently a subject of great theoretical importance, specially concerning the cosmological constant problem in General Relativity. From Quantum Field Theory, it is stated that vacuum states subject to…

High Energy Physics - Theory · Physics 2020-02-07 A. P. C. M. Lima , G. Alencar , C. R. Muniz , R. R. Landim

We calculate the Casimir energy for scalar fields in interaction with finite-width mirrors, described by nonlocal interaction terms. These terms, which include quantum effects due to the matter fields inside the mirrors, are approximated by…

High Energy Physics - Theory · Physics 2009-11-02 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

We calculate the universal part of the free energy of certain finite two- dimensional regions at criticality by use of conformal field theory. Two geometries are considered: a section of a circle ("pie slice") of angle \phi and a helical…

Condensed Matter · Physics 2009-10-28 Peter Kleban , Ingo Peschel

We examine the thermal behavior of a theory with charged massive vector matter coupled to Chern-Simons gauge field. We obtain a critical temperature Tc, at which the effective mass of vector field vanishes, and the system transfers from a…

High Energy Physics - Theory · Physics 2007-05-23 Wei Chen

We want to study the Casimir effect for a single conducting microscopic cylindrical cavity. The mathematical technique is based on the Green function of the geometry of the inside of the cavity, and the integral regularization is based on…

Quantum Physics · Physics 2016-01-28 H. Razmi , S. M. Shirazi

The Casimir effect is a physical manifestation of zero point energy of quantum vacuum. In a relativistic quantum field theory, Poincar\'e symmetry of the theory seems, at first sight, to imply that non-zero vacuum energy is inconsistent…

Quantum Physics · Physics 2016-06-29 Takamaru Akita , Mamoru Matsunaga

A perfectly reflecting (Dirichlet) boundary condition at the edge of an impenetrable magnetic-flux-carrying tube of nonzero transverse size is imposed on the charged massive scalar matter field which is quantized outside the tube. We show…

High Energy Physics - Theory · Physics 2016-10-06 V. M. Gorkavenko , Yu. A. Sitenko , O. B. Stepanov
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