Gravitational contribution to the Casimir energy in Kaluza-Klein theories

Chodos, Alan; Myers, Eric

doi:10.1016/0003-4916(84)90039-3

Cited by 171 publications

(105 citation statements)

References 17 publications

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“…This will allow us to use some well-known techniques of harmonic analysis to write down the eigenfunctions of the spin s Laplacian ∆ (s) in terms of matrix elements of representations of SU(2) × SU(2) and SL(2, C). These have, in fact, already appeared in the physics literature in a series of papers by Camporesi and Higuchi [4,5,6,7,8,9] (see also [10,11,12,13,14] for some related work). We will heavily draw upon these methods and adapt them to obtain the expressions of interest to us.…”

Section: Introductionmentioning

confidence: 97%

The heat kernel on AdS 3 and its applications

David

Gaberdiel

Gopakumar

2010

J. High Energ. Phys.

125

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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Section: Introductionmentioning

confidence: 97%

The heat kernel on AdS 3 and its applications

David

Gaberdiel

Gopakumar

2010

J. High Energ. Phys.

125

225

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“…µν corresponds to a transverse-tracefree, spin 2 particle of mass, m [42,43,44,45,46,47,48,49,50,51].…”

Section: Graviton Mass Spectrummentioning

confidence: 99%

Ghost-free braneworld bigravity

Padilla¹

2004

Class. Quantum Grav.

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We consider a generalisation of the DGP model, by adding a second brane with localised curvature, and allowing for a bulk cosmological constant and brane tensions. We study radion and graviton fluctuations in detail, enabling us to check for ghosts and tachyons. By tuning our parameters accordingly, we find bigravity models that are free from ghosts and tachyons. These models will lead to large distance modifications of gravity that could be observable in the near future. * a.padilla1@physics.ox.ac.uk

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“…Since the dimension of the manifold is odd, I can proceed exactly as in [13], [14], [15] and employ a complex contour method of continuing to s = 0. Defining I(s, q, α) by Z(s, q, α) = I(s, q, α)/Γ(s), one has Z ′ (0, q, α) = I(0, q, α) and a simple calculation which parallels that in [14] produces,…”

Section: Massive Determinants On Homogeneous Lens Spacesmentioning

confidence: 99%

Lens space determinants

Dowker¹

2013

J. Phys. A: Math. Theor.

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More analysis of operator determinants on homogeneous three dimensional lens spaces is presented with the emphasis on numerics so that Laplacians for massive fields can be dealt with. Polyhedral quotients are also briefly considered. Twisted fields, corresponding to flat connections, are looked at and examples of determinants computed. Twisted cyclic quantities are sufficient to determine those for any twisting on any factor. An application to the thermodynamics on sphere quotients is given. Some computations are made for inhomogeneous spaces and higher dimensions are commented on. Minimal coupling is also dealt with.

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Gravitational contribution to the Casimir energy in Kaluza-Klein theories

Cited by 171 publications

References 17 publications

The heat kernel on AdS 3 and its applications

The heat kernel on AdS 3 and its applications

Ghost-free braneworld bigravity

Lens space determinants

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