Casimir force between planes as a boundary finite size effect

Bajnok, Zoltán; Palla, L.; Takács, Gábor

doi:10.1103/physrevd.73.065001

Cited by 15 publications

(21 citation statements)

References 21 publications

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“…Our assumption that F (z) does not have imaginary zeros will make each term under the logarithm in (10) nonzero. However, if β 1 α 1 < 0 or β 2 α 2 < 0, we may get terms that are infinite.…”

Section: The Casimir Energymentioning

confidence: 99%

“…Robin type conditions are needed for conformally invariant field theories in the presence of boundaries, since Robin boundary conditions can be made conformally invariant, but ordinary Neumann boundary conditions cannot. The Casimir effect for fields with Robin boundary conditions was studied from different perspectives and under different context in [5,6,7,8,9,10,11,12,13] for parallel plate geometry, in [14] for a D-dimensional ball, in [15] for spherical shell geometry, and in [16] for the configuration of two spheres. On the other hand, quantum fields with nonlocal boundary conditions can also be reduced to one with Robin boundary conditions [17].…”

Section: Introductionmentioning

confidence: 99%

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Finite temperature Casimir effect for scalar field with Robin boundary conditions in spacetime with extra dimensions

Teo¹

2009

J. High Energy Phys.

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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 temperature Casimir force acting on the plates is derived using the piston approach, with which we show that the divergences of the Casimir forces from the region between the plates and the region outside the plates cancel each other. The sign and asymptotic behaviors of the Casimir force at different limits such as small and large plate separation, low and high temperature, are studied in detail. The range of Robin coefficients where the Casimir force are always attractive or always repulsive are determined. There are also some range of the Robin coefficients where the Casimir force is shown to be attractive at small plate separation and repulsive at large plate separation, or vise versa.

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Section: The Casimir Energymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Finite temperature Casimir effect for scalar field with Robin boundary conditions in spacetime with extra dimensions

Teo¹

2009

J. High Energy Phys.

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“…Moduli stabilization via Casimir energy in the system where a scalar takes the Robin BCs (but no point interaction in the bulk) has been studied in Refs [67][68][69]…”

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confidence: 99%

CPphase from twisted Higgs vacuum expectation value in extra dimension

2013

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We propose a new mechanism for generating a CP phase via Higgs a vacuum expectation value originating from geometry of an extra dimension. A twisted boundary condition is the key to produce an extra-dimension coordinate-dependent vacuum expectation value, which contains a CP phase degree of freedom and can be a new source of a CP phase in higher-dimensional gauge theories. As an illustrative example, we apply our mechanism to a five-dimensional gauge theory with point interactions and show that our mechanism can dynamically produce a nontrivial CP -violating phase with electroweak symmetry breaking, even though the five-dimensional model does not include any CP -violating phases of Yukawa couplings in the five-dimensional Lagrangian because of a single generation of five-dimensional fermions. We apply our mechanism to a model with point interactions, which has no source of CP -violating phases in the couplings of the higher-dimensional action, and show that a nontrivial CP phase dynamically appears.

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“…On the other hand, by many methods such as Green's function [18], zeta function [19], path integral [20], dimensional regularization [21], and cut-off method [22,23], the Casimir effect has been computed for various fields which satisfy different boundary conditions in both flat and curved spacetimes [24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45]. However, as far as a spin-3/2 field is concerned, we are not aware of any work done in this direction.…”

Section: Introductionmentioning

confidence: 99%