Gravitational forces in the Randall-Sundrum model with a scalar stabilizing field

Journal Article · Thu Mar 15 04:00:00 EDT 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.75.064001· OSTI ID:21020147

Arnowitt, R; Dent, J ^[1]

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1. Center For Theoretical Physics, Department of Physics, Texas A and M University, College Station, Texas 77843-4242 (United States)

We consider the problem of gravitational forces between point particles on the branes in a five-dimensional (5D) Randall-Sundrum model with two branes (at y{sub 1} and y{sub 2}) and S{sup 1}/Z{sub 2} symmetry of the fifth dimension. The matter on the branes is viewed as a perturbation on the vacuum metric and treated to linear order. In a previous work [R. Arnowitt and J. Dent, Phys. Rev. D 71, 124024 (2005).] it was seen that the trace of the transverse part of the 4D metric on the TeV brane, f{sup T}(y{sub 2}), contributed a Newtonian potential enhanced by e{sup 2{beta}y{sub 2}} congruent with 10{sup 32} and thus produced gross disagreement with the experiment. In this work we include a scalar stabilizing field {phi} and solve the coupled Einstein and scalar equations to leading order for the case where {phi}{sub 0}{sup 2}/M{sub 5}{sup 3} is small and the vacuum field {phi}{sub 0}(y) is a decreasing function of y. f{sup T} then grows a mass factor e{sup -{mu}}{sup r} where, however, {mu} is suppressed from its natural value, O(M{sub Pl}), by an exponential factor e{sup -(1+{lambda}{sub b}){beta}y{sub 2}}, {lambda}{sub b}>0. Thus agreement with the experiment depends on the interplay between the enhancing and decaying exponentials. Current data eliminates a significant part of the parameter space, and the Randall-Sundrum model will be sensitive to any improvements on the tests of the Newtonian force law at smaller distances. An example of coupling of the {phi} field to the Higgs field is examined and found to generally produce very small effects.

• OSTI ID: 21020147
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 75; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BRANES
COSMOLOGY
COUPLING
DISTURBANCES
ELECTRONS
GRAVITATIONAL FIELDS
HIGGS BOSONS
HIGGS MODEL
MANY-DIMENSIONAL CALCULATIONS
METRICS
POTENTIALS
QUANTUM FIELD THEORY
SCALARS
SPACE
SYMMETRY
TEV RANGE