Bulk quantum effects for de Sitter branes in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">AdS</mml:mi></mml:mrow><mml:mrow><mml:mn>5</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

Moss, Ian G.; Naylor, Wade; Santiago-Germán, Wenceslao; Sasaki, Misao

doi:10.1103/physrevd.67.125010

Cited by 36 publications

(35 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These results have been extended to the case of conformally coupled Majorana spinors in Ref. [24], still by making use of conformal transformations. The cases of a massless conformally coupled scalar field and of a massive minimally coupled field for de Sitter branes embedded in both de Sitter and AdS bulks have been considered in Ref.…”

Section: Introductionmentioning

confidence: 94%

“…Here we focus on the specific case of a massless conformally coupled field, as this allows us to compare our result to that of Refs. [22,24]. By setting σ = 1/2 in Eqs.…”

Section: Limiting Casesmentioning

confidence: 99%

“…The first step of the method used in Refs. [21,22,23,24] is a conformal transformation that changes the original background spacetime into a different one, where the evaluation of the zeta determinant is, in principle, easier. In Refs.…”

Section: Limiting Casesmentioning

confidence: 99%

“…In Refs. [21,22,23,24] this corresponds to a coordinate transformation, dz = dr/a(r), upon which the original line element becomes…”

Section: Limiting Casesmentioning

confidence: 99%

“…First we specify the result to the conformally coupled case and compare with that of Refs. [21,22,23,24]. Then we consider the limit of large AdS curvature radius ℓ, which should reproduce a ball-like geometry.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Zeta functions in brane world cosmology

et al. 2004

Self Cite

View full text Add to dashboard Cite

We present a calculation of the zeta function and of the functional determinant for a Laplace-type differential operator, corresponding to a scalar field in a higher dimensional de Sitter brane background, which consists of a higher dimensional anti-de Sitter bulk spacetime bounded by a de Sitter section, representing a brane. Contrary to the existing examples, which all make use of conformal transformations, we evaluate the zeta function working directly with the higher dimensional wave operator. We also consider a generic mass term and coupling to curvature, generalizing previous results. The massless, conformally coupled case is obtained as a limit of the general result and compared with known calculations. In the limit of large anti-de Sitter radius, the zeta determinant for the ball is recovered in perfect agreement with known expressions, providing an interesting check of our result and an alternative way of obtaining the ball determinant.

show abstract

Section: Introductionmentioning

confidence: 94%

“…Here we focus on the specific case of a massless conformally coupled field, as this allows us to compare our result to that of Refs. [22,24]. By setting σ = 1/2 in Eqs.…”

Section: Limiting Casesmentioning

confidence: 99%

Section: Limiting Casesmentioning

confidence: 99%

“…In Refs. [21,22,23,24] this corresponds to a coordinate transformation, dz = dr/a(r), upon which the original line element becomes…”

Section: Limiting Casesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Zeta functions in brane world cosmology

et al. 2004

Self Cite

View full text Add to dashboard Cite

show abstract

Wightman function and Casimir densities on AdS bulk with application to the Randall–Sundrum braneworld

Saharian

2005

Nuclear Physics B

103

View full text Add to dashboard Cite

Positive frequency Wightman function and vacuum expectation value of the energymomentum tensor are computed for a massive scalar field with general curvature coupling parameter subject to Robin boundary conditions on two parallel plates located on (D + 1)-dimensional AdS background. The general case of different Robin coefficients on separate plates is considered. The mode summation method is used with a combination of a variant of the generalized Abel-Plana formula for the series over zeros of combinations of cylinder functions. This allows us to extract manifestly the parts due to the AdS spacetime without boundaries and boundary induced parts. The asymptotic behavior of the vacuum densities near the plates and at large distances is investigated. The vacuum forces acting on the boundaries are presented as a sum of the self-action and interaction forces. The first one contains well-known surface divergences and needs further regularization. The interaction forces between the plates are attractive for Dirichlet scalar. We show that there is a region in the space of parameters defining the boundary conditions in which the interaction forces are repulsive for small distances and attractive for large distances. An application to the Randall-Sundrum braneworld with arbitrary mass terms on the branes is discussed.

show abstract

Casimir densities for a spherical brane in Rindler-like spacetimes

Saharian

Setare²

2005

Nuclear Physics B

View full text Add to dashboard Cite

Wightman function, the vacuum expectation values of the field square and the energy-momentum tensor are evaluated for a scalar field obeying mixed boundary condition on a spherical brane in (D+1)-dimensional Rindler-like spacetime $Ri\times S^{D-1}$, where $Ri$ is a two-dimensional Rindler spacetime. This spacetime approximates the near horizon geometry of (D+1) -dimensional black hole in the large mass limit. The vacuum expectation values are presented as the sum of boundary-free and brane-induced parts. Further we extract from the Wightman function for the boundary-free geometry the corresponding function in the bulk $R^{2}\times S^{D-1}$. For the latter geometry the vacuum expectation values of the field square and the energy-momentum tensor do not depend on the spacetime point. For the renormalization of these quantities we use zeta regularization technique. Various limiting cases of the brane-induced vacuum expectation values are investigated.Comment: 15 pages, Application to the AdS black hole braneworld and references added, accepted for publication in Nuclear Physics

show abstract

Bulk quantum effects for de Sitter branes inAdS5

Cited by 36 publications

References 29 publications

Zeta functions in brane world cosmology

Zeta functions in brane world cosmology

Wightman function and Casimir densities on AdS bulk with application to the Randall–Sundrum braneworld

Casimir densities for a spherical brane in Rindler-like spacetimes

Contact Info

Product

Resources

About