Quantum fields and extended objects in space-times with constant curvature spatial section

Bytsenko, A. A.; Cognola, Guido; Vanzo, Luciano; Zerbini, Sergio

doi:10.1016/0370-1573(95)00053-4

Cited by 256 publications

(322 citation statements)

References 308 publications

(496 reference statements)

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“…In particular, due to non-trivial topologies, the multiple images of a given cosmic source may exist (in some specific cosmological models the detailed analyses of this possibility was performed in [181]). The observable effects of the various topological properties of space-time in the various cosmological models make the calculation of the Casimir energy densities important (see, e.g., the monograph [31] and review [182] where it was calculated in spherical and cylindrical Universes of different dimensionality).…”

Section: Cosmological Modelsmentioning

confidence: 99%

New developments in the Casimir effect

2001

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We provide a review of both new experimental and theoretical developments in the Casimir effect. The Casimir effect results from the alteration by the boundaries of the zero-point electromagnetic energy. Unique to the Casimir force is its strong dependence on shape, switching from attractive to repulsive as function of the size, geometry and topology of the boundary. Thus the Casimir force is a direct manifestation of the boundary dependence of quantum vacuum. We discuss in depth the general structure of the infinities in the field theory which are removed by a combination of zeta-functional regularization and heat kernel expansion. Different representations for the regularized vacuum energy are given. The Casimir energies and forces in a number of configurations of interest to applications are calculated. We stress the development of the Casimir force for real media including effects of nonzero temperature, finite conductivity of the boundary metal and surface roughness. Also the combined effect of these important factors is investigated in detail on the basis of condensed matter physics and quantum field theory at nonzero temperature. The experiments on measuring the Casimir force are also reviewed, starting first with the older measurements and finishing with a detailed presentation of modern precision experiments. The latter are accurately compared with the theoretical results for real media. At the end of the review we provide the most recent constraints on the corrections to Newtonian gravitational law and other hypothetical long-range interactions at submillimeter range obtained from the Casimir force measurements.

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Section: Cosmological Modelsmentioning

confidence: 99%

New developments in the Casimir effect

2001

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“…(B.1) and (B.2). (A general reference for the trace formula in this context is [22], Sec. 3.4, see also [23,24]).…”

Section: The Heat Kernelmentioning

confidence: 99%

“…Furthermore, the change in the measure is equal to [29] 22) where the power of −2 comes from the fact that we are dealing with a two-component Dirac fermion. It follows from (7.17) that the components transform under a gauge transformation as…”

Section: One Loop Determinant For the Gravitinomentioning

confidence: 99%

The heat kernel on AdS 3 and its applications

David

Gaberdiel

Gopakumar

2010

J. High Energ. Phys.

123

225

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We derive the heat kernel for arbitrary tensor fields on S 3 and (Euclidean) AdS 3 using a group theoretic approach. We use these results to also obtain the heat kernel on certain quotients of these spaces. In particular, we give a simple, explicit expression for the one loop determinant for a field of arbitrary spin s in thermal AdS 3 . We apply this to the calculation of the one loop partition function of N = 1 supergravity on AdS 3 . We find that the answer factorizes into left-and right-moving super Virasoro characters built on the SL(2, C) invariant vacuum, as argued by Maloney and Witten on general grounds.

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“…Although the final result is well known (see, for example, [39,40]), we think that it is useful to present here an elementary derivation. To begin with, let us introduce the operator L = −∆ − 1, ∆ being the Laplace operator on H 3 .…”

Section: Appendixmentioning

confidence: 99%

Quantum scalar field on the massless(2+1)-dimensional black hole background

Binosi¹,

Moretti

Vanzo

et al. 1999

Phys. Rev. D

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The behavior of a quantum scalar field is studied in the metric ground state of the (2+1)-dimensional black hole of Bañados, Teitelboim and Zanelli which contains a naked singularity. The one-loop BTZ partition function and the associate black hole effective entropy, the expectation value of the quantum fluctuation as well as the renormalized expectation value of the stress tensor are explicitly computed in the framework of the ζ-function procedure. This is done for all values of the coupling with the curvature, the mass of the field and the temperature of the quantum state. In the massless conformally coupled case, the found stress tensor is used for determining the quantum back reaction on the metric due to the scalar field in the quantum vacuum state, by solving the semiclassical Einstein equations. It is finally argued that, within the framework of the 1/N expansion, the Cosmic Censorship Hypothesis is implemented since the naked singularity of the ground state metric is shielded by an event horizon created by the back reaction.

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Quantum fields and extended objects in space-times with constant curvature spatial section

Cited by 256 publications

References 308 publications

New developments in the Casimir effect

New developments in the Casimir effect

The heat kernel on AdS 3 and its applications

Quantum scalar field on the massless(2+1)-dimensional black hole background

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