Spin-Spin Interaction In Matrix Theory

Abstract

We calculate the spin dependent static force between two D0-branes in Matrix theory. Supersymmetry relates velocity dependent potentials to spin dependent potentials. The well known v^4/r^7 term is related to a theta^8/r^11 term, where theta is the relative spin of the D0-branes. We calculate this term, confirming that it is the lowest order contribution to the static potential, and find its structure consistent with supergravity.

15 pages, LaTeX, uses feynmf.sty for diagrams. Reference added and some labels on the diagrams restored

References in corpus (6)

• Why is the Matrix Model Correct?
• Matrix Theory
• Why Matrix Theory is Hard
• A note on supersymmetric D-brane dynamics
• Scale independent spin effects in D-brane dynamics
• Short Distance Contributions to Graviton-Graviton Scattering: Matrix Theory versus Supergravity

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• Eleven-dimensional massless superparticles and matrix theory spin-orbit couplings revisited
• Non-perturbative membrane spin-orbit couplings in M/IIA theory
• Studies on a silicon-photomultiplier-based camera for Imaging Atmospheric Cherenkov Telescopes
• Power of Supersymmetry in D-particle Dynamics
• Fully Off-shell Effective Action and its Supersymmetry in Matrix Theory
• Beyond Eikonal Scattering in M(atrix)-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