SCATTERING OF NONCOMMUTATIVE STRINGS

Abstract

We obtain S-matrix, for the scattering of two string states, on a noncommutative D3-brane in a path integral formalism. The framework provides a natural setting at Planck energy. It is argued that the effective theory is governed by two different length scales, respectively along the longitudinal and transverse directions. This in turn allows one to view an emerging semiclassical D-string in the theory. Interestingly, the S-matrix generalizes the case of a point-particle Planckian scattering studied in literatures. Our analysis may shed light on the issue of "imaginary string," originally raised by 't Hooft in a point-particle scattering at Planck energy.