Higher Order Spin-dependent Terms in D0-brane Scattering from the Matrix Model

Abstract

The potential describing long-range interactions between D0-branes contains spin-dependent terms. In the matrix model, these should be reproduced by the one-loop effective action computed in the presence of a nontrivial fermionic background $\psi .$ The $\frac{v^3{\psi }^2}{r^8}$ term in the effective action has been computed by Kraus and shown to correspond to a spin-orbit interaction between D0-branes, and the $\frac{{\psi }^8}{r^{11}}$ term in the static potential has been obtained by Barrio et al. In this paper, the $\frac{v^2{\psi }^4}{r^9}$ term is computing in the matrix model and compared with the corresponding results of Morales et al obtained using string theoretic methods. The technique employed is adapted to the underlying supersymmetry of the matrix model, and should be useful in the calculation of spin-dependent effects in more general Dp-brane scatterings.

Latex, 22 pages

References in corpus (5)

• A ``Gaussian'' Approach to Computing Supersymmetric Effective Actions
• A note on supersymmetric D-brane dynamics
• Scale independent spin effects in D-brane dynamics
• Spin-Orbit Interaction from Matrix Theory
• Spin-Spin Interaction In Matrix Theory

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• Power of Supersymmetry in D-particle Dynamics
• Structure in Supersymmetric Yang-Mills Theory
• Fully Off-shell Effective Action and its Supersymmetry in Matrix Theory
• Spin dependent D-brane interactions and scattering amplitudes in matrix theory
• The Supercharges of Eleven-dimensional Supergraviton on Gravitational Wave Background
• The SU(N) Matrix Model at Two Loops