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The temperature inversion symmetry of the partition function of the electromagnetic field in the set-up of the Casimir effect is extended to full modular transformations by turning on a purely imaginary chemical potential for adapted spin…

High Energy Physics - Theory · Physics 2020-12-02 Francesco Alessio , Glenn Barnich

We use a functional approach to the Casimir effect in order to evaluate the exact vacuum energy for a real scalar field in $d+1$ dimensions, in the presence of backgrounds that, in a particular limit, impose Dirichlet boundary conditions on…

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

The Casimir force and free energy at low temperatures has been the subject of focus for some time. We calculate the temperature correction to the Casimir-Lifshitz free energy between two parallel plates made of dielectric material…

Quantum Physics · Physics 2016-08-14 Simen A. Ellingsen , Iver Brevik , Johan S. Høye , Kimball A. Milton

In this paper we review the calculations that are needed to obtain the bosonic and fermionic effective potential at finite temperature and volume (at one loop). The calculations at finite volume correspond to $S^1\times R^d$ topology. These…

Mathematical Physics · Physics 2009-08-28 V. K. Oikonomou

In order to compare recent experimental results with theoretical predictions we study the influence of finite conductivity of metals on the Casimir effect. The correction to the Casimir force and energy due to imperfect reflection and…

Quantum Physics · Physics 2023-04-14 Astrid Lambrecht , Cyriaque Genet , Serge Reynaud

Using functional integral methods, we study the Casimir effect for the case of two infinite parallel plates in the QED vacuum, with (different) perfect electromagnetic boundary conditions applied to both plates. To enforce these boundary…

High Energy Physics - Theory · Physics 2024-07-01 David Dudal , Aaron Gobeyn , Thomas Oosthuyse , Sebbe Stouten , David Vercauteren

This review gives an overview of effective field theory (EFT) as applied at finite density, with a focus on nuclear many-body systems. Uniform systems with short-range interactions illustrate the ingredients and virtues of many-body EFT and…

Nuclear Theory · Physics 2009-11-19 R. J. Furnstahl , G. Rupak , T. Schaefer

In continuation of our earlier proposal for evaluating thermal effective actions, we determine the exact fermion propagator in 1+1 dimensional massive QED. This propagator is used to derive the finite temperature effective action of the…

High Energy Physics - Theory · Physics 2010-12-24 Ashok Das , J. Frenkel

Dimensional reduction and effective field theory methods are applied to the Two Higgs Doublet Model at finite temperature. A sequence of two effective three-dimensional field theories which are valid on successively longer distance scales…

High Energy Physics - Phenomenology · Physics 2011-09-13 Jens O. Andersen

We use thermal effective field theory to derive that the coefficient of the first subleading piece of the thermal free energy, $c_1$, is equal to the coefficient of the subleading piece of the Casimir energy on $S^1 \times S^{d-2}$ for $d…

High Energy Physics - Theory · Physics 2024-05-09 Kuroush Allameh , Edgar Shaghoulian

Scalar fields appear in many theories beyond the Standard Model of particle physics. In the early universe, they are exposed to extreme conditions, including high temperature and rapid cosmic expansion. Understanding their behavior in this…

High Energy Physics - Phenomenology · Physics 2015-08-21 Yeuk-Kwan E. Cheung , Marco Drewes , Jin U Kang , Jong Chol Kim

In this article, we study the finite temperature Casimir effect for scalar field with Robin boundary conditions on two parallel plates in a background spacetime that has a compact internal manifold with arbitrary geometry. The finite…

High Energy Physics - Theory · Physics 2014-11-20 L. P. Teo

In this article, we derive the finite temperature Casimir force acting on a pair of parallel plates due to a massless scalar field propagating in the bulk of a higher dimensional brane model. In contrast to previous works which used…

High Energy Physics - Theory · Physics 2009-11-23 L. P. Teo

By considering the effect of diffusion on the external electric field response of charge carriers in metals and semiconductors, it is shown that the finite temperature correction proposed Bostrom and Sernelius requires substantial…

Quantum Physics · Physics 2008-01-09 Steve K. Lamoreaux

This work investigates the thermal Casimir effect associated with a massive spinor field defined on a four-dimensional flat space with a circularly compactified spatial dimension whose periodicity is oriented along a vector in $xy$-plane.…

High Energy Physics - Theory · Physics 2025-09-03 Joás Venâncio , Lameque Filho , Herondy Mota , Azadeh Mohammadi

Effective Field Theory (EFT) provides a powerful framework that exploits a separation of scales in physical systems to perform systematically improvable, model-independent calculations. Particularly interesting are few-body systems with…

Other Condensed Matter · Physics 2009-11-10 H. -W. Hammer

Systems with an O(n) symmetrical Hamiltonian are considered in a $d$-dimensional slab geometry of macroscopic lateral extension and finite thickness $L$ that undergo a continuous bulk phase transition in the limit $L\to\infty$. The…

Statistical Mechanics · Physics 2008-03-14 Daniel Grüneberg , H. W. Diehl

In view of the increasing accuracy of Casimir experiments, there is a need for performing accurate theoretical calculations. Using accurate experimental data for the permittivities we present, via the Lifshitz formula applied to the…

Quantum Physics · Physics 2009-11-11 I. Brevik , J. B. Aarseth

We introduce a useful approach to find asymptotically explicit expressions for the Casimir free energy at large temperature. The resulting expressions contain the classical terms as well as the few first terms of the corresponding…

High Energy Physics - Theory · Physics 2019-03-18 Y. Koohsarian , K. Javidan

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
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