Relativistic brane scattering
Abstract
We calculate relativistic phase shifts resulting from the large impact parameter scattering of 0branes off pbranes within supergravity. Their full functional dependence on velocity agrees with that obtained by identifying the pbranes with Dbranes in string theory. These processes are also described by 0brane quantum mechanics, but only in the nonrelativistic limit. We show that an improved 0brane quantum mechanics based on a BornInfeldtype Lagrangian also does not yield the relativistic results. The scattering of 0branes off bound states of arbitrary numbers of 0branes and 2branes is analyzed in detail, and we find agreement between supergravity and string theory at large distances to all orders in velocity. Our careful treatment of this system, which embodies the 11dimensional kinematics of 2branes in M(atrix) theory, makes it evident that control of {1}/{n} corrections will be necessary in order to understand our relativistic results within M(atrix) theory.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1997
 DOI:
 10.1016/S05503213(97)005439
 arXiv:
 arXiv:hepth/9703039
 Bibcode:
 1997NuPhB.506...61B
 Keywords:

 High Energy Physics  Theory
 EPrint:
 22 pages, latex. Reference and acknowledgement added