Towards the lattice study of M-theory

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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Lattice 2000 (Gravity and Matrix Models)

Scientific paper

10.1016/S0920-5632(01)00887-8

We propose the Wilson discretization of the supersymmetric Yang-Mills Quantum Mechanics as a lattice version of the matrix model of M-theory. An SU(2) model is studied numerically in the quenched approximation for D=4. A clear signal for the existence of two different phases is found and the continuum pseudocritical temperature is determined. We have also extracted the continuum limit of the total size of the system in both phases and for different temperatures.

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