Quantum (in)stability of a brane-world universe at nonzero temperature

Brevik, Iver; Milton, Kimball A.; Nojiri, Shin’ichi; Odintsov, Sergei D.

doi:10.1016/s0550-3213(01)00026-8

Cited by 93 publications

(82 citation statements)

References 19 publications

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“…A bulk scalar field analogy has been considered to evaluate the gravitational Casimir effect in AdS 5 brane-world at both zero [20] and finite temperatures [21]. The scalar-graviton analogy can in principle be used to calculate the Casimir force due to gravitational field, following a similar procedure as here.…”

Section: Calculating the Casimir Force In Rsi And Rsii Modelsmentioning

confidence: 99%

Casimir force in Randall-Sundrum models

Frank¹,

Turan²,

Ziegler

2007

Phys. Rev. D

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We discuss and compare the effects of one extra dimension in the Randall Sundrum models on the evaluation of the Casimir force between two parallel plates. We impose the condition that the result reproduce the experimental measurements within the known uncertainties in the force and the plate separation, and get an upper bound kR 20 if the curvature parameter k of AdS 5 is equal to the Planck scale. Although the upper bound decreases as k decreases, kR ∼ 12, which is the required value for solving the hierarchy problem, is consistent with the Casimir force measurements.For the case where the 5 th dimension is infinite, the correction to the Casimir force is very small and negligible.

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Section: Calculating the Casimir Force In Rsi And Rsii Modelsmentioning

confidence: 99%

Casimir force in Randall-Sundrum models

Frank¹,

Turan²,

Ziegler

2007

Phys. Rev. D

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“…The behavior that relation (40) describes is the same with that of (36) and (34). This cannot be accidental.…”

Section: Combination Of the Termsmentioning

confidence: 70%

“…Zeta-regularization techniques [4,[27][28][29][31][32][33][34], can be used to compute the small L expansion of the effective potential. For the case in which the total dimensionality of space is even, the potential can be computed as follows (for general d):…”

Section: Small L Expansion Of the Effective Potentialmentioning

confidence: 99%

Inverse Supersymmetry Breaking in S1 × R3

Oikonomou

2010

Symmetry

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In this paper, we study the influence of hard supersymmetry breaking terms in a N = 1, d = 4 supersymmetric model, in S 1 × R 3 spacetime topology. It is shown that when the radius of the compact dimension is large supersymmetry is unbroken, and dynamically breaks as the radius decreases. We point out that this resembles the inverse symmetry breaking of continuous symmetries at finite temperature (however, in the case of supersymmetry, the role of the temperature is played by the compact dimension's radius). Furthermore, we also find a universality in the dependence of the critical length L c as a function of a coupling g 3 , after comparing all cases.

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“…when ν = 1 and this corresponds to fixing the values of ξ and m according to (18) and (19), and finally, when ν is different from the two previous values § . In the first case, we find…”

Section: Radion Stabilisation and Quantum Self-consistency Of Thementioning

confidence: 99%

Quantum self-consistency ofAdS×Σbrane models

Flachi

Pujolàs

2003

Phys. Rev. D

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Continuing on our previous work, we consider a class of higher dimensional brane models with the topology of AdSD 1 +1 × Σ, where Σ is a one-parameter compact manifold and two branes of codimension one are located at the orbifold fixed points. We consider a set-up where such a solution arises from Einstein-Yang-Mills theory and evaluate the one-loop effective potential induced by gauge fields and by a generic bulk scalar field. We show that this type of brane models resolves the gauge hierarchy between the Planck and electroweak scales through redshift effects due to the warp factor a = e −πkr . The value of a is then fixed by minimizing the effective potential. We find that, as in the Randall Sundrum case, the gauge field contribution to the effective potential stabilises the hierarchy without fine-tuning as long as the laplacian ∆Σ on Σ has a zero eigenvalue. Scalar fields can stabilise the hierarchy depending on the mass and the non-minimal coupling. We also address the quantum self-consistency of the solution, showing that the classical brane solution is not spoiled by quantum effects.

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Quantum (in)stability of a brane-world universe at nonzero temperature

Cited by 93 publications

References 19 publications

Casimir force in Randall-Sundrum models

Casimir force in Randall-Sundrum models

Inverse Supersymmetry Breaking in S1 × R3

Quantum self-consistency ofAdS×Σbrane models

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