Towards the lattice study of M-theory
R. A. Janik, J. Wosiek (Jagellonian University)
TL;DR
This paper introduces a lattice discretization of M-theory's matrix model using supersymmetric Yang-Mills Quantum Mechanics, analyzing phase structure and continuum limits through numerical simulations.
Contribution
It presents a novel lattice formulation of M-theory's matrix model and provides numerical evidence of phase transitions and continuum behavior.
Findings
Identification of two distinct phases in the model
Determination of the continuum pseudocritical temperature
Extraction of the system's size in different phases and temperatures
Abstract
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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