Zero-Brane Quantum Mechanics

1996/03/31 by Daniel Kabat, Philippe Pouliot · 15 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Laser-Plasma Interactions and Diagnostics #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1103/physrevlett.77.1004

published as Phys.Rev.Lett.77:1004-1007,1996 · 9 pages, harvmac, improved treatment of 2+1 problem

arxiv created 1996/04/05 · openalex publication_date 1996/08/05 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Another Length Scale in String Theory?
• Open strings in background gauge fields
• Non-linear electrodynamics from quantized strings

Cited by

• D-branes and short distances in string theory
• The supermembrane with winding
• M theory as a holographic field theory
• Thermodynamics of D0-branes in matrix theory
• TASI Lectures on D-Branes
• Creation of strings in D-particle quantum mechanics
• On gauge bosons in the matrix model approach to M theory
• Effects of D-instantons
• Supersymmetric quantum mechanics, supermembranes and Dirichlet particles
• Configurations of two D-instantons
• Matrix theory
• Open and closed supermembranes with winding
• Dynamics of Dirichlet-Neumann open strings on D-branes
• The Discrete Bound State Spectrum of the Rotating D0-brane System
• D-brane bound state wave functions