<i>The Casimir Effect: Physical Manifestations of Zero-Point Energy</i>

Milton, Kimball A.; Lamoreaux, S. K.

doi:10.1119/1.1522701

Cited by 532 publications

(1,106 citation statements)

References 57 publications

(111 reference statements)

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“…Introducing in (60) y = y ′ + L 2 /2 and taking the limit L 2 → ∞ with fixed value y ′ , from (60) the vacuum forces for two infinite parallel Dirichlet plates are obtained. Note that the local vacuum densities for a quantum field confined within rectangular cavities are investigated in [36,37,38] (for corresponding global quantities such as the total Casimir energy see [1,4] and references therein).…”

Section: Vacuum Interaction Forcesmentioning

confidence: 99%

“…The distortion of the spectrum for the zero-point fluctuations of a quantum field by these conditions results in the shifts in the vacuum expectation values of physical observables, such as the vacuum energy density and stresses, and induces vacuum forces acting on constraining boundaries. This is the well known Casimir effect (see [1,2,3,4] and references therein). The Casimir effect is common to all systems characterized by fluctuating quantities and has important implications on all scales, from cosmological to subnuclear.…”

Section: Introductionmentioning

confidence: 99%

“…The corresponding problem for the geometry of two coaxial cylindrical shells is considered in [27]. A large number of papers is devoted to the investigation of the various aspects of the Casimir effect for a dielectric cylinder (see, for instance, [4,28] and references therein).…”

Section: Introductionmentioning

confidence: 99%

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Wightman function and scalar Casimir densities for a wedge with two cylindrical boundaries

Saharian

Tarloyan

2008

Annals of Physics

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Wightman function, the vacuum expectation values of the field square and the energymomentum tensor are investigated for a massive scalar field with general curvature coupling parameter inside a wedge with two coaxial cylindrical boundaries. It is assumed that the field obeys Dirichlet boundary condition on bounding surfaces. The application of a variant of the generalized Abel-Plana formula enables to extract from the expectation values the contribution corresponding to the geometry of a wedge with a single shell and to present the interference part in terms of exponentially convergent integrals. The local properties of the vacuum are investigated in various asymptotic regions of the parameters. The vacuum forces acting on the boundaries are presented as the sum of self-action and interaction terms. It is shown that the interaction forces between the separate parts of the boundary are always attractive. The generalization to the case of a scalar field with Neumann boundary condition is discussed.

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Section: Vacuum Interaction Forcesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Wightman function and scalar Casimir densities for a wedge with two cylindrical boundaries

Saharian

Tarloyan

2008

Annals of Physics

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“…When two objects are brought together, correlations in fluctuations of the charge and current densities in the objects or fluctuations of the fields usually result in an attractive force [1][2][3][4][5][6][7][8][9][10]. At short distances, this is the van der Waals force [1]; at large distances, the finite velocity of light becomes important (retardation effects) and the result is the Casimir force [2,8].…”

mentioning

confidence: 99%

Retardation turns the van der Waals attraction into a Casimir repulsion as close as 3 nm

et al. 2012

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“…It has important implications on all scales, from mesoscopic condensed matter physics to cosmology. Since the original research by Casimir [24], for the electromagnetic field in the geometry of two parallel conducting plates, many theoretical and experimental works have been done in this direction (for reviews see [25][26][27][28][29][30]). In braneworlds, the boundary conditions imposed on the bulk fields will give…”

Section: Jhep11(2015)092mentioning

confidence: 99%

Vacuum currents in braneworlds on AdS bulk with compact dimensions

Bellucci

Saharian

Vardanyan

2015

J. High Energ. Phys.

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Abstract:The two-point function and the vacuum expectation value (VEV) of the current density are investigated for a massive charged scalar field with arbitrary curvature coupling in the geometry of a brane on the background of AdS spacetime with partial toroidal compactification. The presence of a gauge field flux, enclosed by compact dimensions, is assumed. On the brane the field obeys Robin boundary condition and along compact dimensions periodicity conditions with general phases are imposed. There is a range in the space of the values for the coefficient in the boundary condition where the Poincaré vacuum is unstable. This range depends on the location of the brane and is different for the regions between the brane and AdS boundary and between the brane and the horizon. In models with compact dimensions the stability condition is less restrictive than that for the AdS bulk with trivial topology. The vacuum charge density and the components of the current along non-compact dimensions vanish. The VEV of the current density along compact dimensions is a periodic function of the gauge field flux with the period equal to the flux quantum. It is decomposed into the boundary-free and brane-induced contributions. The asymptotic behavior of the latter is investigated near the brane, near the AdS boundary and near the horizon. It is shown that, in contrast to the VEVs of the field squared and energy-momentum tensor, the current density is finite on the brane and vanishes for the special case of Dirichlet boundary condition. Both the boundary-free and brane-induced contributions vanish on the AdS boundary. The brane-induced contribution vanishes on the horizon and for points near the horizon the current is dominated by the boundary-free part. In the near-horizon limit, the latter is connected to the corresponding quantity for a massless field in the Minkowski bulk by a simple conformal relation. Depending on the value of the Robin coefficient, the presence of the brane can either increase or decrease the JHEP11 (2015)092 vacuum currents. Applications are given for a higher-dimensional version of the RandallSundrum 1-brane model.

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The Casimir Effect: Physical Manifestations of Zero-Point Energy

Cited by 532 publications

References 57 publications

Wightman function and scalar Casimir densities for a wedge with two cylindrical boundaries

Wightman function and scalar Casimir densities for a wedge with two cylindrical boundaries

Retardation turns the van der Waals attraction into a Casimir repulsion as close as 3 nm

Vacuum currents in braneworlds on AdS bulk with compact dimensions

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