Quantized bulk fermions in the Randall-Sundrum brane model

Flachi, Antonino; Moss, Ian G.; Toms, David J.

doi:10.1103/physrevd.64.105029

Cited by 80 publications

(87 citation statements)

References 71 publications

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“…One possible mechanism is that quantum fluctuations of the bulk fields stabilise the branes at phenomenologically acceptable positions. This has been discussed extensively in the context of the Randall-Sundrum brane world scenario [6,7,8,9,10]. Previous work of this kind in five-dimensional heterotic M-theory has been done for scalar fields by Garriga et al [11].…”

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confidence: 99%

One loop effective potential in heterotic M-theory

Moss

Norman

2004

J. High Energy Phys.

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We have calculated the one loop effective potential of the vector multiplets arising from the compactification to five dimensions of heterotic M -theory on a Calabi-Yau manifold with h 1,1 > 1. We find that extensive cancellations between the fermionic and bosonic sectors of the theory cause the effective potential to vanish, with the exception of a higher order curvature term of the type which might arise from string corrections.

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confidence: 99%

One loop effective potential in heterotic M-theory

Moss

Norman

2004

J. High Energy Phys.

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“…The effective potential was then regularised using dimensional regularisation. Fermion fields have also been considered in [20,21] where the main emphasis was on fermion representations and topological symmetry breaking. Some recent work concerning the radion with bulk gauge fields is given in [22], & for higher dimensional models, see [23].…”

Section: Introductionmentioning

confidence: 99%

Bulk quantum effects for de Sitter branes inAdS5

et al. 2003

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We investigate some issues regarding quantum corrections for de Sitter branes in a bulk AdS5 spacetime. The one-loop effective action for a Majorana spinor field is evaluated and compared with the scalar field result. We also evaluate the cocycle function for various boundary conditions, finding that the quantum corrections naturally induce higher order curvature terms in the original action and, in general, it is not possible to eliminate the cocycle function by renormalisation. In the one brane limit care must be taken on how one extracts physical results. The effective potential is found to be zero on the conformally related cylinder. However, using the actual metric, the contribution from the cocycle function is non-zero and must be included. Subtleties with any zero modes are also discussed.

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“…Using mainly zeta-regularization, the calculation of above vacuum energy for bulk scalars and spinors on fivedimensional AdS space was performed in refs. [17,18,19,20,21,22]. Instead of repeating such complicated calculations, we follow to the prescription developed in [10] and calculate the difference between vacuum energies corresponding to different boundary conditions specified by the double-trace operator.…”

Section: C-function From Ads Black Hole: No Deformationmentioning

confidence: 99%

One-loop vacuum energy and RG flow induced by double-trace operators in AdS/CFT and dS/CFT correspondence

Nojiri

Odintsov

2004

Phys. Rev. D

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It has been shown that the renormalization group (RG) flow connecting different vacua may occur due to the multi-trace operators in fourdimensional CFT. In the AdS/CFT set-up, the double trace operators correspond to the tachyonic scalar field living in the bulk five-dimensional AdS. In this paper, we consider the five dimensional black hole as the bulk spacetime instead of the pure AdS. In frames of the AdS/CFT correspondence, the AdS black hole is believed to describe dual CFT at finite temperature. From the AdS side, we consider the difference of energies between the two vacua by one-loop calculation for the scalar field with tachyonic mass in five-dimensional AdS black hole. In order to check the dS/CFT correspondence, the corresponding calculations are done in five-dimensional deSitter space. The difference between the two vacua is specified by the difference of the boundary conditions of the scalar field. We show that for AdS black hole, there might occur instability which could be the manifestation of the Hawking-Page phase transition. For stable phase of AdS black hole as well as for deSitter bulk, proposed c-function found beyond the leading order approximation shows the monotonic behaviour consistent with c-theorem.

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Quantized bulk fermions in the Randall-Sundrum brane model

Cited by 80 publications

References 71 publications

One loop effective potential in heterotic M-theory

One loop effective potential in heterotic M-theory

Bulk quantum effects for de Sitter branes inAdS5

One-loop vacuum energy and RG flow induced by double-trace operators in AdS/CFT and dS/CFT correspondence

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