The fate of Newton's law in brane-world scenarios

Abstract

We consider brane-world scenarios embedded into string theory. We find that the D-brane backreaction induces a large increase in the open string's proper length. Consequently the stringy nature of elementary particles can be detected at distances much larger than the fundamental string scale. As an example, we compute the gravitational potential between two open strings ending on backreacting D3-branes in four-dimensional compactifications of type II string theory. We find that the Newtonian potential receives a correction that goes like 1/r but that is not proportional to the inertial masses of the open strings, implying a violation of the equivalence principle in the effective gravitational theory. This stringy correction is screened by thermal effects when the distance between the strings is greater than the inverse temperature. This suggests new experimental tests for many phenomenological models in type II string theory.

8 pages, 3 figures

References in corpus (4)

• Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
• Gravity duals of half-BPS Wilson loops
• Geometry of open strings ending on backreacting D3-branes
• The influence of D-branes' backreaction upon gravitational interactions between open strings

Cited by in corpus (7)

• Challenges for $\Lambda$CDM: An update
• Primordial Gravitational Wave Signals in Modified Cosmologies
• Hints of Modified Gravity in Cosmos and in the Lab?
• Sub-millimeter Spatial Oscillations of Newton's Constant: Theoretical Models and Laboratory Tests
• Constraints on Spatially Oscillating Sub-mm Forces from the Stanford Levitated Microsphere Experiment Data
• Geometry of open strings ending on backreacting D3-branes
• Precession shift in curvature based Extended Theories of Gravity and Quintessence fields