Thermofield dynamics and Casimir effect for fermions

Queiroz, H.; Silva, J. C. da; Khanna, F. C.; Malbouisson, J. M. C.; Revzen, M.; Santana, A. E.

doi:10.1016/j.aop.2004.11.011

Cited by 38 publications

(29 citation statements)

References 55 publications

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“…We restrict our attention here to cylinders of circular cross section and infinite length. Although calculations have been carried out for parallelopiped geometries [240,241,242,243,244,245,246,247,248,249,250,251], the effects included refer only to the interior modes of oscillation. This is because the wave equation is not separable outside a cube or a rectangular solid.…”

Section: Cylindersmentioning

confidence: 99%

The Casimir effect: recent controversies and progress

Milton

2004

J. Phys. A: Math. Gen.

463

504

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Abstract. The phenomena implied by the existence of quantum vacuum fluctuations, grouped under the title of the Casimir effect, are reviewed, with emphasis on new results discovered in the past four years. The Casimir force between parallel plates is rederived as the strong-coupling limit of δ-function potential planes. The role of surface divergences is clarified. A summary of effects relevant to measurements of the Casimir force between real materials is given, starting from a geometrical optics derivation of the Lifshitz formula, and including a rederivation of the Casimir-Polder forces. A great deal of attention is given to the recent controversy concerning temperature corrections to the Casimir force between real metal surfaces. A summary of new improvements to the proximity force approximation is given, followed by a synopsis of the current experimental situation. New results on Casimir self-stress are reported, again based on δ-function potentials. Progress in understanding divergences in the self-stress of dielectric bodies is described, in particular the status of a continuing calculation of the self-stress of a dielectric cylinder. Casimir effects for solitons, and the status of the so-called dynamical Casimir effect, are summarized. The possibilities of understanding dark energy, strongly constrained by both cosmological and terrestrial experiments, in terms of quantum fluctuations are discussed. Throughout, the centrality of quantum vacuum energy in fundamental physics in emphasized.

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Section: Cylindersmentioning

confidence: 99%

The Casimir effect: recent controversies and progress

Milton

2004

J. Phys. A: Math. Gen.

463

504

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“…In the case of an electromagnetic field inside a perfectly conducting Fabri-Perrot cavity, this effect generates an attractive force between the plates which has been measured with high precision by Lamoureaux [3] and Mohideen and Roy [4]. Although Casimir's original analysis concerned the electromagnetic field, many authors have considered other fields, for example a fermionic [5] or the Dirac field [6], the latter in the study of the quark confinement problem.…”

Section: Introductionmentioning

confidence: 99%

Action of the gravitational field on the dynamical Casimir effect

Céleri

Pascoal

Moussa

2009

Class. Quantum Grav.

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In this paper we analyze the action of the gravitational field on the dynamical Casimir effect.We consider a massless scalar field confined in a cuboid cavity placed in a gravitational field described by a static and diagonal metric. With one of the plane mirrors of the cavity allowed to move, we compute the average number of particles created inside the cavity by means of the Bogoliubov coefficients computed through perturbative expansions. We apply our result to the case of an oscillatory motion of the mirror, assuming a weak gravitational field described by the Schwarzschild metric. The regime of parametric amplification is analyzed in detail, demonstrating that our computed result for the mean number of particles created agrees with specific associated cases in the literature. Our results, obtained in the framework of the perturbation theory, are restricted, under resonant conditions, to a short-time limit.

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“…This allows us to consider field theoretical models with spatial constraints, at zero or finite temperature, by using generating functionals with a path-integral formalism on the topology [29][30][31][32]. These ideas have been established recently on a firm foundation [33,34] and applied in different physical situations, for example: for spontaneous symmetry breaking in the compactified φ 4 model [37][38][39]; for second-order phase transitions in superconducting films, wires and grains [40][41][42]; for the Casimir effect for bosons and fermions [43][44][45][46][47][48]; for size effects in the NJL model [49][50][51][52][53]; and, for electrodynamics with an extra dimension [54].…”

Section: Introductionmentioning

confidence: 99%

Phase transition in the massive Gross-Neveu model in toroidal topologies

Khanna

Malbouisson

et al. 2012

Phys. Rev. D

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We use methods of quantum field theory in toroidal topologies to study the N -component D-dimensional massive Gross-Neveu model, at zero and finite temperature, with compactified spatial coordinates. We discuss the behavior of the large-N coupling constant (g), investigating its dependence on the compactification length (L) and the temperature (T ). For all values of the fixed coupling constant (λ), we find an asymptotic-freedom type of behavior, with g → 0 as L → 0 and/or T → ∞. At T = 0, and for λ ≥ λ

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Thermofield dynamics and Casimir effect for fermions

Cited by 38 publications

References 55 publications

The Casimir effect: recent controversies and progress

The Casimir effect: recent controversies and progress

Action of the gravitational field on the dynamical Casimir effect

Phase transition in the massive Gross-Neveu model in toroidal topologies

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