A comment on self-tuning and vanishing cosmological constant in the brane world

Förste, Stefan; Lalak, Zygmunt; Lavignac, Stéphane; Nilles, Hans Peter

doi:10.1016/s0370-2693(00)00468-8

Cited by 140 publications

(176 citation statements)

References 7 publications

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“…As such it is possible to more closely examine the nature of the solutions, and so to see if the classically vanishing vacuum energy has somehow been ensured through a hidden fine-tuning of some of the parameters of the theory. This kind of hidden fine-tuning has been been raised as an objection [22] to the 5D models of ref. [18].…”

Section: Hidden Fine Tunings?mentioning

confidence: 99%

Supersymmetric large extra dimensions and the cosmological constant: an update

Burgess

2004

Annals of Physics

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This article critically reviews the proposal for addressing the cosmological constant problem within the framework of supersymmetric large extra dimensions (SLED), as recently proposed in hep-th/0304256. After a brief restatement of the cosmological constant problem, a short summary of the proposed mechanism is given. The emphasis is on the perspective of the low-energy effective theory in order to see how it addresses the problem of why low-energy particles like the electron do not contribute too large a vacuum energy. This is followed by a discussion of the main objections, which are grouped into the following five topics: (1) Weinberg's No-Go Theorem. (2) Are hidden tunings of the theory required, and are these stable under renormalization? (3) Why should the mechanism apply only now and not rule out possible earlier epochs of inflationary dynamics? (4) How big are quantum effects, and which are the most dangerous? and (5) Even if successful, can the mechanism be consistent with cosmological or current observational constraints? It is argued that there are plausible reasons why the mechanism can thread the potential objections, but that a definitive proof that it does depends on addressing well-defined technical points. These points include identifying what fixes the size of the extra dimensions, checking how topological obstructions renormalize and performing specific calculations of quantum corrections. More detailed studies of these issues, which are well reach within our present understanding of extra-dimensional theories, are currently underway. As such, the jury remains out concerning the proposal, although the prospects for acquittal still seem good. (An abridged version of this article appears in the proceedings of SUSY 2003.)

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Section: Hidden Fine Tunings?mentioning

confidence: 99%

Supersymmetric large extra dimensions and the cosmological constant: an update

Burgess

2004

Annals of Physics

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“…In this expression, the signs ofã ′ i and φ ′ i are defined according to the following rule: 23) with similar definitions for φ ′ . In other words, the derivatives are taken on the right side of brane 1, and on the left side of brane 2 since we assumed y 1 < y 2 .…”

Section: The Radion Potential In 5-dimensionsmentioning

confidence: 99%

“…[22,20]. Originally, it was hoped that such a solution had some relevance for the cosmological constant problem, until more careful considerations [23] exemplified the necessity of fine-tuning in this model. For y 1 < y 2 < 0, the solution was found [20] to bẽ 16) where ω 2 = 8κ 2 5 |Λ B |/3, and the sign ambiguity is resolved only when the scalar potential on either of the two branes is specified.…”

Section: Non-trivialmentioning

confidence: 99%

On the stabilization of the size of extra dimensions

Kanti¹,

Olive²,

Pospelov³

2002

Physics Letters B

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We derive a general formalism for constructing a four-dimensional effective action for the radion field in 5 dimensions, taking into account the possible dependence of the scale factor on the internal coordinate. First and second variations of the action with respect to the size of the extra dimension reveals two types of algebraic constraints on the combination of brane and bulk Lagrangians that extremize the action, and provide an effective mass for the radion field. We derive a compact formula for the radion mass squared in terms of brane and bulk potentials for the case of a bulk scalar field. We further specialize these constraints for several, five-dimensional realizations of brane world models.

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“…One may screen the naked singularity by including a second negative tension brane. However this introduces a fine-tuning of the brane tensions, and it has been rightfully argued that this is yet again a rephrasing, and not a solution, of the cosmological constant problem [13].…”

Section: Introductionmentioning

confidence: 99%

Avoidance of naked singularities in dilatonic brane world scenarios with a Gauss–Bonnet term

et al. 2002

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We consider, in 5 dimensions, the low energy effective action induced by heterotic string theory including the leading stringy correction of order α ′ . In the presence of a single positive tension flat brane, and an infinite extra dimension, we present a particular class of solutions with finite 4-dimensional Planck scale and no naked singularity. A "self-tuning" mechanism for relaxing the cosmological constant on the brane, without a drastic fine tuning of parameters, is discussed in this context. Our solutions are distinct from the standard self-tuning solutions discussed in the context of vanishing quantum corrections in α ′ , and become singular in this limit.

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A comment on self-tuning and vanishing cosmological constant in the brane world

Cited by 140 publications

References 7 publications

Supersymmetric large extra dimensions and the cosmological constant: an update

Supersymmetric large extra dimensions and the cosmological constant: an update

On the stabilization of the size of extra dimensions

Avoidance of naked singularities in dilatonic brane world scenarios with a Gauss–Bonnet term

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