Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-05-15
Nucl.Phys. B504 (1997) 285-325
Physics
High Energy Physics
High Energy Physics - Theory
44 pages, latex, 4 figures
Scientific paper
As a step toward satisfactory understanding of the quantum dynamics of Dirichlet \break (D-) particles, the amplitude for the basic process describing the scattering of two quantized D-particles is computed in bosonic string theory. The calucluation is performed and cross-checked using three different methods, namely, (i) path integral, (ii) boundary state, and (iii) open-channel operator formalism. The analysis is exact in $\al'$ and includes the first order correction in the expansion with respect to the acceleration of the D-particles. The resultant Lorentz-invariant amplitude is capable of describing general non-forward scattering with recoil effects fully taken into account and it reproduces the known result for the special case of forward scattering in the limit of infinitely large D-particle mass. The expected form of the amplitude for the supersymmetric case is also briefly discussed.
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