Quantized bulk scalar fields in the Randall–Sundrum brane model

Flachi, Antonino; Toms, David J.

doi:10.1016/s0550-3213(01)00314-5

Cited by 114 publications

(110 citation statements)

References 38 publications

(43 reference statements)

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“…Especially the detailed studies in the Randall-Sundrum model have shown the major contribution of the Casimir effect to stabilise the radion [22,23,24,25].…”

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confidence: 99%

The Casimir effect in the presence of compactified universal extra dimensions

et al. 2004

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“…Especially the detailed studies in the Randall-Sundrum model have shown the major contribution of the Casimir effect to stabilise the radion [22,23,24,25].…”

mentioning

confidence: 99%

The Casimir effect in the presence of compactified universal extra dimensions

et al. 2004

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“…The boundary condition for the mode functions is obtained by integrating the field equation near the brane. In a way similar to that used in [19][20][21], it can be seen that for fields even under the reflection with respect to the brane (untwisted scalar field) the boundary condition is of the Robin type with…”

Section: (325)mentioning

confidence: 97%

“…In braneworld models on AdS bulk, the presence of branes gives rise to additional boundary conditions on the operator of a quantum field. These conditions depend on the specific geometry of the brane and have been discussed in [19][20][21] for models with Z 2 symmetry. Another type of boundary conditions is induced by the presence of compact spatial dimensions.…”

Section: Jhep11(2015)092mentioning

confidence: 99%

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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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“…For the coefficients in the boundary conditions one has (see also Ref. 16 for the case c 1 = c 2 = 0)…”

Section: Quantum Effects In Higher-dimensional Cosmological Models 171mentioning

confidence: 99%

Quantum Effects in Higher-Dimensional Cosmological Models

Saharian

2012

Int. J. Mod. Phys. Conf. Ser.

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Vacuum energy density and stresses are investigated for a scalar field in de Sitter spacetime with an arbitrary number of toroidally compactified spatial dimensions and in antide Sitter spacetime with two parallel branes. On the branes the field obeys the Robin boundary conditions. The behavior of the vacuum expectation values is discussed in various asymptotic regions of the parameters. Applications are given to Randall-Sundrum type braneworlds.

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Quantized bulk scalar fields in the Randall–Sundrum brane model

Cited by 114 publications

References 38 publications

The Casimir effect in the presence of compactified universal extra dimensions

The Casimir effect in the presence of compactified universal extra dimensions

Vacuum currents in braneworlds on AdS bulk with compact dimensions

Quantum Effects in Higher-Dimensional Cosmological Models

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