Classical ultra-relativistic scattering in ADD
High Energy Physics - Phenomenology
2009-05-29 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Abstract
The classical differential cross-section is calculated for high-energy small-angle gravitational scattering in the factorizable model with toroidal extra dimensions. The three main features of the classical computation are: (a) It involves summation over the infinite Kaluza-Klein towers but, contrary to the Born amplitude, it is finite with no need of an ultraviolet cutoff. (b) It is shown to correspond to the non-perturbative saddle-point approximation of the eikonal amplitude, obtained by the summation of an infinite number of ladder graphs of the quantum theory. (c) In the absence of extra dimensions it reproduces all previously known results.
Cite
@article{arxiv.0903.3019,
title = {Classical ultra-relativistic scattering in ADD},
author = {Dmitry V. Gal'tsov and Georgios Kofinas and Pavel Spirin and Theodore N. Tomaras},
journal= {arXiv preprint arXiv:0903.3019},
year = {2009}
}
Comments
12 pages, minor changes