On the quantum mechanics of M(atrix) theory

Abstract

We present a study of M(atrix) theory from a purely canonical viewpoint. In particular, we identify free particle asymptotic states of the model corresponding to the supergraviton multiplet of eleven dimensional supergravity. These states have a natural interpretation as excitations in the flat directions of the matrix model potential. Furthermore, we provide the split of the matrix model Hamiltonian into a free part describing the free propagation of these particle states along with the interaction Hamiltonian describing their interactions. Elementary quantum mechanical perturbation theory then yields an effective potential for these particles as an expansion in their inverse separation. Remarkably we find that the leading velocity independent terms of the effective potential cancel in agreement with the fact that there is no force between stationary D0 branes. The scheme we present provides a framework in which one can perturbatively compute the M(atrix) theory result for the eleven dimensional supergraviton S matrix.

28 pages, Latex2e

References in corpus (3)

• Higher Order Graviton Scattering in M(atrix) Theory
• On The Construction of Zero Energy States in Supersymmetric Matrix Models III
• A Note on Effective Lagrangians in Matrix Theory

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• On Asymptotic Hamiltonian for SU(N) Matrix Theory
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• D-particle polarizations with multipole moments of higher-dimensional branes
• Eleven dimensional supergravity in light cone gauge
• Construction of the Zero-Energy State of SU(2)-Matrix Theory: Near the Origin
• Lorentz Symmetry and IR Structure of The BFSS Matrix Model
• Vertex Operators for the Supermembrane and Background Field Matrix Theory
• Supermembranes and Super Matrix Models
• SUSY in Silico: numerical D-brane bound state spectroscopy
• Spin dependent D-brane interactions and scattering amplitudes in matrix theory
• On the Ground State Wave Function of Matrix Theory
• Asymptotic Supergraviton States in Matrix Theory
• On the Spectrum of D=2 Supersymmetric Yang-Mills Quantum Mechanics
• D-instantons and Matrix Models
• On the Relationship between Discrete and Continuous Energy Spectra of SU(N) Supermembrane Matrix Model
• Hairy strings