Scattering of Closed String States from a Quantized D-Particle

Abstract

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.

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

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• D0-brane recoil revisited
• Interaction of D-string with F-string: A Path-Integral Formalism
• Path-Integral Formulation of Dirichlet String in General Backgrounds
• Local recoil of extended solitons: a string theory example
• Strings in compact cosmological spaces
• Recoiling D-branes
• Quantum backreaction in string theory
• Effective Potential for Revolving D-branes
• D-brane Analyses for BPS Mass Spectra and U-duality
• Scattering of the Kalb-Ramond State from a Dynamical D$p$-brane with Background Fields
• Dynamics of Revolving D-Branes at Short Distances
• The $SL(K+3,\mathbb{C})$ symmetry of string scatterings from D-branes
• More on Effective Potentials for Revolving D-Branes
• Microscopic approach to string gas cosmology
• Partition Function on Not-flat Brane