Electromagnetic field correlators and the Casimir effect for planar boundaries in AdS spacetime with application in braneworlds

Saharian, A. A.; Kotanjyan, A. S.; Sargsyan, H. G.

doi:10.1103/physrevd.102.105014

Cited by 10 publications

(9 citation statements)

References 96 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For definiteness, we will assume that a cutoff function is introduced in (40) without writing it explicitly. In [47][48][49]61,62,67], the point-splitting regularization technique is used. The details of the evaluation for the boundary-induced contributions at points outside the boundaries do not depend on the specific regularization scheme.…”

Section: General Propertiesmentioning

confidence: 99%

“…The general formula (49) for the brane-induced contribution in the energy-momentum tensor is simplified in the region near the brane and at large distances from it (near-horizon limit). For large values x, the integrand in (49) behaves as x D−1 e −2x(1−z 0 /z) , and the integral is divergent for points on the brane.…”

Section: Dirac Fieldmentioning

confidence: 99%

“…In addition, the quantum effects of bulk fields generate a cosmological constant on the brane. Motivated by these points, the Casimir effect in braneworld models on the AdS bulk, with branes parallel to the AdS boundary, has been investigated for scalar [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38], fermionic [39][40][41][42][43] and vector fields [44][45][46][47][48][49]. The models with de Sitter branes have been discussed in [50][51][52][53][54][55][56][57][58].…”

Section: Introductionmentioning

confidence: 99%

“…The Casimir densities for a Z 2 -symmetric thick brane for the general case of static plane symmetric interior structure have been discussed in [68]. The VEVs of the energy-momentum tensor for Dirac spinor field and for the electromagnetic field are investigated in [42,43,[46][47][48][49]. The geometry of a brane intersecting the AdS boundary is considered in [69].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Quantum Vacuum Effects in Braneworlds on AdS Bulk

Saharian

2020

Universe

Self Cite

View full text Add to dashboard Cite

We review the results of investigations for brane-induced effects on the local properties of quantum vacuum in background of AdS spacetime. Two geometries are considered: a brane parallel to the AdS boundary and a brane intersecting the AdS boundary. For both cases, the contribution in the vacuum expectation value (VEV) of the energy–momentum tensor is separated explicitly and its behavior in various asymptotic regions of the parameters is studied. It is shown that the influence of the gravitational field on the local properties of the quantum vacuum is essential at distance from the brane larger than the AdS curvature radius. In the geometry with a brane parallel to the AdS boundary, the VEV of the energy–momentum tensor is considered for scalar field with the Robin boundary condition, for Dirac field with the bag boundary condition and for the electromagnetic field. In the latter case, two types of boundary conditions are discussed. The first one is a generalization of the perfect conductor boundary condition and the second one corresponds to the confining boundary condition used in QCD for gluons. For the geometry of a brane intersecting the AdS boundary, the case of a scalar field is considered. The corresponding energy–momentum tensor, apart from the diagonal components, has nonzero off-diagonal component. As a consequence of the latter, in addition to the normal component, the Casimir force acquires a component parallel to the brane.

show abstract

Section: General Propertiesmentioning

confidence: 99%

Section: Dirac Fieldmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Quantum Vacuum Effects in Braneworlds on AdS Bulk

Saharian

2020

Universe

Self Cite

View full text Add to dashboard Cite

show abstract

“…For quantum fields in a given curved background, closed analytic expressions for the characteristics of the vacuum, such as the vacuum energy, the Casimir forces and vacuum expectation values (VEVs) of the energy-momentum tensor, are obtained for geometries with high symmetry. In particular, motivated by radion stabilization and generation of the cosmological constant on branes, the investigation of boundary-induced quantum effects in anti-de Sitter (AdS) spacetime has attracted a great deal of attention (see references given in [13,14]).…”

Section: Introductionmentioning

confidence: 99%

Casimir densities induced by a sphere in the hyperbolic vacuum of de Sitter spacetime

Saharian,

Petrosyan

2021

Preprint

View full text Add to dashboard Cite

Complete set of modes and the Hadamard function are constructed for a scalar field inside and outside a sphere in (D + 1)-dimensional de Sitter spacetime foliated by negative constant curvature spaces. We assume that the field obeys Robin boundary condition on the sphere. The contributions in the Hadamard function induced by the sphere are explicitly separated and the vacuum expectation values (VEVs) of the field squared and energy-momentum tensor are investigated for the hyperbolic vacuum. In the flat spacetime limit the latter is reduced to the conformal vacuum in the Milne universe and is different from the maximally symmetric Bunch-Davies vacuum state. The vacuum energy-momentum tensor has a nonzero off-diagonal component that describes the energy flux in the radial direction. The latter is a purely sphere-induced effect and is absent in the boundary-free geometry. Depending on the constant in Robin boundary condition and also on the radial coordinate, the energy flux can be directed either from the sphere or towards the sphere. At early stages of the cosmological expansion the effects of the spacetime curvature on the sphere-induced VEVs are weak and the leading terms in the corresponding expansions coincide with those for a sphere in the Milne universe. The influence of the gravitational field is essential at late stages of the expansion. Depending on the field mass and the curvature coupling parameter, the decay of the sphere-induced VEVs, as functions of the time coordinate, is monotonic or damping oscillatory. At large distances from the sphere the fall-off of the sphere-induced VEVs, as functions of the geodesic distance, is exponential for both massless and massive fields.

show abstract

Cosmic string and brane induced effects on the fermionic vacuum in AdS spacetime

Bellucci

dos

Mello

et al. 2022

J. High Energ. Phys.

View full text Add to dashboard Cite

We investigate the combined effects of a magnetic flux-carrying cosmic string and a brane on the fermionic condensate (FC) and on the vacuum expectation value (VEV) of the energy-momentum tensor for a massive charged fermionic field in background of 5-dimensional anti-de Sitter (AdS) spacetime. The brane is parallel to the AdS boundary and it divides the space into two regions with distinct properties of the fermionic vacuum. For two types of boundary conditions on the field operator and for the fields realizing two inequivalent representations of the Clifford algebra, the brane-induced contributions in VEVs are explicitly separated. The VEVs are even periodic functions of the magnetic flux, confined in the core, with the period of flux quantum. Near the horizon the FC and the vacuum energy-momentum tensor are dominated by the brane-free contribution, whereas the brane-induced part dominates in the region near the brane. Both the contributions vanish on the AdS boundary. At large distances from the cosmic string, the topological contributions in the VEVs, as functions of the proper distance, exhibit an inverse power-law decrease in the region between the brane and AdS horizon and an exponential decrease in the region between the brane and AdS boundary. We show that the FC and the vacuum energy density can be either positive or negative, depending on the distance from the brane. Applications are discussed in fermionic models invariant under the charge conjugation and parity transformation and also in Z2-symmetric braneworld models. By the limiting transition we derive the expressions of the FC and the vacuum energy-momentum tensor for a cosmic string on 5-dimensional Minkowski bulk in the presence of a boundary perpendicular to the string.

show abstract

Electromagnetic field correlators and the Casimir effect for planar boundaries in AdS spacetime with application in braneworlds

Cited by 10 publications

References 96 publications

Quantum Vacuum Effects in Braneworlds on AdS Bulk

Quantum Vacuum Effects in Braneworlds on AdS Bulk

Casimir densities induced by a sphere in the hyperbolic vacuum of de Sitter spacetime

Cosmic string and brane induced effects on the fermionic vacuum in AdS spacetime

Contact Info

Product

Resources

About