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Phys. Rev. Lett. 77, 1004–1007 (1996)

Zero-Brane Quantum Mechanics

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Daniel Kabat and Philippe Pouliot
Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08855-0849

Received 15 April 1996; published in the issue dated 5 August 1996

We consider low energy, nonrelativistic scattering of two Dirichlet zero-branes as an exercise in quantum mechanics. For weak string coupling and sufficiently small velocity, the dynamics is governed by an effective U(2) gauge theory in 0+1 dimensions. At low energies, D-brane scattering can reliably probe distances much shorter than the string scale. The only length scale in the quantum mechanics problem is the eleven-dimensional Planck length. This provides evidence for the role of scales shorter than the string length in the weakly coupled dynamics of type IIA strings.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.77.1004
DOI:
10.1103/PhysRevLett.77.1004
PACS:
11.25.Sq, 03.65.Nk