Compromise of localized graviton with a small cosmological constant in Randall–Sundrum scenario

Park, D.K.; Tamaryan, Sayatnova

doi:10.1016/s0370-2693(02)01541-1

Cited by 6 publications

(5 citation statements)

References 34 publications

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“…The coupling constant renormalization procedure in RS2 is in detail explained in Ref. [27]. In this case the fixed-energy amplitude and the corresponding gravitational potential is exactly same with that of the original RS result when v ren = −3/(2R).…”

Section: Fixed-energy Amplitude For Rs2mentioning

confidence: 71%

“…In this case the fixed-energy amplitude and the corresponding gravitational potential is exactly same with that of the original RS result when v ren = −3/(2R). This result may provide us the compromise of the massless graviton with a small cosmological constant [27].…”

Section: Fixed-energy Amplitude For Rs2mentioning

confidence: 97%

“…Also we will show why coupling constant renormalization is necessary to lead a non-trivial modification in the fixed-energy amplitude at Dirichlet BC. In section 3 we will compute the fixed-energy amplitude for RS2 [27] which depends on a free parameter ξ where ξ = 0 and ξ = 1 correspond respectively to pure Dirichlet and pure Neumann BC cases.…”

Section: Let Us Consider 1dmentioning

confidence: 99%

“…Recently, one of the present authors computed the fixed-energy amplitude for RS2 at Ref. [27] which will be reviewed in this section briefly. Furthermore we will derive the general condition in the parameter space for the appearance of the localized massless graviton.…”

Section: Fixed-energy Amplitude For Rs2mentioning

confidence: 99%

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Singular quantum mechanical viewpoint of localized gravity in brane-world scenario

Park¹,

Kim²

2002

Nuclear Physics B

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The graviton localized on the 3-brane is examined in Randall-Sundrum braneworld scenario from the viewpoint of one-dimensional singular quantum mechanics. For the Randall-Sundrum single brane scenario the one-parameter family of the fixed-energy amplitude is explicitly computed where the free parameter ξ parametrizes the various boundary conditions at the brane. The general criterion for the localized graviton to be massless is derived when ξ is arbitrary but non-zero. When ξ = 0, the massless graviton is obtained via a coupling constant renormalization. For the two branes picture the fixedenergy amplitude is in general dependent on the two free parameters. The numerical test indicates that there is no massless graviton in this picture. For the positive-tension brane, however, the localized graviton becomes massless when the distance between branes are infinitely large, which is essentially identical to the single brane picture. For the negative-tension brane there is no massless graviton regardless of the distance between branes and choice of boundary conditions.

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Section: Fixed-energy Amplitude For Rs2mentioning

confidence: 71%

Section: Fixed-energy Amplitude For Rs2mentioning

confidence: 97%

Section: Let Us Consider 1dmentioning

confidence: 99%

Section: Fixed-energy Amplitude For Rs2mentioning

confidence: 99%

See 2 more Smart Citations

Singular quantum mechanical viewpoint of localized gravity in brane-world scenario

Park¹,

Kim²

2002

Nuclear Physics B

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“…( 3) is derived in Ref. [6,7], we have used a translation of the extra dimension as z = y + R. Thus, the location of the 3-brane in this new coordinate is z = R. That is why we consider ψ m (R) in Eq. ( 5).…”

mentioning

confidence: 99%

Logarithmic correction to Newton potential in Randall–Sundrum scenario

Park

Tamaryan

2003

Physics Letters B

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Using a fixed-energy amplitude in Randall-Sundrum single brane scenario, we compute the Newton potential on the brane. It is shown that the correction terms to the Newton potential involve a logarithmic factor. Especially, when the distance between two point masses are very small compared to AdS radius, the contribution of KK spectrum becomes dominant compared to the usual inversely square law. This fact may be used to prove the existence of an extra dimension experimentally. *

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Newton law on the generalized singular brane with and without 4d induced gravity

2003

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Newton law arising due to the gravity localized on the general singular brane embedded in AdS 5 bulk is examined in the absence or presence of the 4d induced Einstein term. For the RS brane, apart from the subleading correction, Newton potential obeys 4d-type and 5d-type gravitational law at long-and short-ranges if it were not for the induced Einstein term. The 4d induced Einstein term generates an intermediate range at short distance, in which the 5d Newton potential 1/r 2 emerges. For Neumann brane the long-range behavior of Newton potential is exponentially suppressed regardless of the existence of the induced Einstein term. For Dirichlet brane the expression of Newton potential is dependent on the renormalized coupling constant v ren . At particular value of v ren Newton potential on Dirichlet brane exhibits a similar behavior to that on RS brane. For other values the long-range behavior of Newton potential is exponentially suppressed as that in Neumann brane. *

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Compromise of localized graviton with a small cosmological constant in Randall–Sundrum scenario

Cited by 6 publications

References 34 publications

Singular quantum mechanical viewpoint of localized gravity in brane-world scenario

Singular quantum mechanical viewpoint of localized gravity in brane-world scenario

Logarithmic correction to Newton potential in Randall–Sundrum scenario

Newton law on the generalized singular brane with and without 4d induced gravity

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