Quantum field theory on global anti-de Sitter space-time with Robin boundary conditions

Morley, Thomas; Taylor, PM; Winstanley, Elizabeth

doi:10.1088/1361-6382/aba58a

Cited by 23 publications

(41 citation statements)

References 71 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Inspired by our recent work on the effect of boundary conditions on quantum field theory in pure adS [77], in this paper we extend our previous study of the VP on topological black holes [68] by considering general mixed (Robin) boundary conditions. Using the methodology developed in [68], we compute the renormalized VP for a massless, conformally coupled scalar field on a variety of black holes with spherical, flat and hyperbolic horizons, paying particular attention to the effect of changing the boundary conditions satisfied by the scalar field.…”

Section: Introductionmentioning

confidence: 94%

“…We impose Robin (mixed) boundary conditions, in which a linear combination of the radial function and its derivative normal to the spacetime boundary vanishes. The spacetime boundary at r → ∞ is not formally part of the spacetime, so, in order to impose Robin boundary conditions, following [77], we make a conformal transformation to the Einstein static universe (ESU). The conformal transformation affects the metric and scalar field as follows:…”

Section: Classical Conformal Scalar Field On Topological Black Holesmentioning

confidence: 99%

“…However, Dirichlet boundary conditions are not the only possibility. Very recently, we have studied quantum field theory on pure adS with general mixed (Robin) boundary conditions applied to the field [77]. The properties of the VP for both vacuum and thermal states depend on the particular boundary conditions applied: for some boundary conditions it is monotonically increasing from the origin to the boundary; for others monotonically decreasing.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Vacuum polarization on topological black holes with Robin boundary conditions

2021

Self Cite

View full text Add to dashboard Cite

We compute the renormalized vacuum polarization for a massless, conformally coupled scalar field on asymptotically anti-de Sitter black hole backgrounds. Mixed (Robin) boundary conditions are applied on the spacetime boundary. We consider black holes with nonspherical event horizon topology as well as spherical event horizons. The quantum scalar field is in the Hartle-Hawking state, and we employ Euclidean methods to calculate the renormalized expectation values. Far from the black hole, we find that the vacuum polarization approaches a finite limit, which is the same for all boundary conditions except Dirichlet boundary conditions.

show abstract

Section: Introductionmentioning

confidence: 94%

Section: Classical Conformal Scalar Field On Topological Black Holesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Vacuum polarization on topological black holes with Robin boundary conditions

2021

Self Cite

View full text Add to dashboard Cite

show abstract

“…In the range 0 ≤ ν < 1, the solution (6) with c 2 = 0 is normalizable and in order to uniquely define the mode functions an additional boundary condition at the AdS boundary is required [70,73]. The general class of allowed boundary conditions has been discussed in [74,75]. In particular, they include the Dirichlet and Neumann boundary conditions, the most frequently used in the literature.…”

Section: Scalar Fieldmentioning

confidence: 99%

Quantum Vacuum Effects in Braneworlds on AdS Bulk

Saharian

2020

Universe

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

“…These two exciting developments of modern theoretical physics naturally appear in the string/M-theory context and offer an interesting framework to approach several problems in particle physics, cosmology and JHEP02(2021)190 condensed matter physics. Motivated by the points given above, quantum field theory in AdS background has been extensively studied by several authors (see, for instance, [2]- [23] and references therein).…”

Section: Introductionmentioning

confidence: 99%

Vacuum fermionic currents in braneworld models on AdS bulk with a cosmic string

Bellucci

dos

Mello

et al. 2021

J. High Energ. Phys.

View full text Add to dashboard Cite

We investigate the effects of a brane and magnetic-flux-carrying cosmic string on the vacuum expectation value (VEV) of the current density for a charged fermionic field in the background geometry of (4+1)-dimensional anti-de Sitter (AdS) spacetime. The brane is parallel to the AdS boundary and the cosmic string is orthogonal to the brane. Two types of boundary conditions are considered on the brane that include the MIT bag boundary condition and the boundary conditions in Z2-symmetric braneworld models. The brane divides the space into two regions with different properties of the vacuum state. The only nonzero component of the current density is along the azimuthal direction and in both the regions the corresponding VEV is decomposed into the brane- free and brane-induced contributions. The latter vanishes on the string and near the string the total current is dominated by the brane-free part. At large distances from the string and in the region between the brane and AdS horizon the decay of the brane-induced current density, as a function of the proper distance, is power-law for both massless and massive fields. For a massive field this behavior is essentially different from that in the Minkowski bulk. In the region between the brane and AdS boundary the large-distance decay of the current density is exponential. Depending on the boundary condition on the brane, the brane-induced contribution is dominant or subdominant in the total current density at large distances from the string. By using the results for fields realizing two inequivalent irreducible representations of the Clifford algebra, the vacuum current density is investigated in C - and P -symmetric fermionic models. Applications are given for a cosmic string in the Randall-Sundrum-type braneworld model with a single brane.

show abstract

Quantum field theory on global anti-de Sitter space-time with Robin boundary conditions

Abstract: This is a repository copy of Quantum field theory on global anti-de Sitter space-time with Robin boundary conditions.

Cited by 23 publications

References 71 publications

Vacuum polarization on topological black holes with Robin boundary conditions

Vacuum polarization on topological black holes with Robin boundary conditions

Quantum Vacuum Effects in Braneworlds on AdS Bulk

Vacuum fermionic currents in braneworld models on AdS bulk with a cosmic string

Contact Info

Product

Resources

About