Relativistic Dynamics of Multi-BPS D-vortices and Straight BPS D-strings
arXiv:0707.0357 · doi:10.1016/j.physletb.2008.08.006
Abstract
Moduli space dynamics of multi-D-vortices from D2 (equivalently, parallel straight D-strings from D33) is systematically studied. For the BPS D-vortices, we show through exact calculations that the classical motion of randomly-distributed D-vortices is governed by a relativistic Lagrangian of free massive point-particles. When the head-on collision of two identical BPS D-vortices of zero radius is considered, it predicts either 90 scattering or 0 scattering equivalent to 180 scattering. Since the former leads to a reconnection of two identical D-strings and the latter does to a case of their passing through each other, two possibilities are consistent with the prediction of string theory. It is also shown that the force between two non-BPS vortices is repulsive. Although the obtained moduli space dynamics of multi-BPS-D-vortices is exact in classical regime, the quantum effect of an F-string pair production should be included in determining the probabilities of the reconnection and the passing through for fast-moving cosmic superstrings.
18 pages, 3 figures. Changes for the analysis of scattering and minor changes have been made. 1 figure has been replaced