Scattering of Closed String States from a Quantized D-Particle

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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24 pages, LaTeX, no figures. Improvements are made on explanations of the approximation scheme and the handling of the diverge

Scientific paper

10.1016/S0550-3213(97)00298-8

By developing an appropriate path-integral formalism, we compute, in bosonic string theory, the disk amplitude for the scattering of closed string states from a D-particle, in which the collective coordinate of the D-particle is fully quantized. As a consequence, the recoil of the D-particle is naturally taken into account. Our result can be readily factorized in the closed string channel to yield the boundary state describing the recoiling D-particle. This turned out to agree with the BRST invariant vertex recently proposed by Ishibashi to the leading order in the derivative expansion, but it will receive corrections in subsequent orders. The advantage of our formalism is that it is extendable to deal with more general processes involving multiple D-particles. A viewpoint regarding our work as describing a dynamical transition of CFT's is also discussed.

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