High Energy Scattering and D-Pair Creation in Matrix String Theory
Abstract
In this paper we use the matrix string approach to begin a study of high energy scattering processes in M-theory. In particular we exhibit an instanton-type configuration in 1+1 super-Yang-Mills theory that can be interpreted as a non-perturbative description of a string interaction. This solution is used to describe high energy processes with non-zero longitudinal momentum exchange, in which an arbitrary number of eigenvalues get transferred between the two scattering states. We describe a direct correspondence between these semi-classical SYM configurations and the Gross-Mende saddle points. We also study in detail the pair production of D-particles via a one-loop calculation which in the 1+1D gauge theory language is described by the (perturbative) transition between states with different electric flux. Finally, we discuss a possible connection between these calculations in which D-particle production gives important corrections to the Gross-Mende process.
Cite
@article{arxiv.hep-th/9804121,
title = {High Energy Scattering and D-Pair Creation in Matrix String Theory},
author = {Steven B. Giddings and Feike Hacquebord and Herman Verlinde},
journal= {arXiv preprint arXiv:hep-th/9804121},
year = {2009}
}
Comments
44 pages, harvmac; minor reference and equation corrections