First Results from Lattice Simulation of the PWMM

TL;DR

This paper reports initial lattice simulation results of the supersymmetric quantum mechanics model known as PWMM, focusing on its strong coupling behavior and deconfinement transition using hybrid Monte Carlo methods.

Contribution

First lattice simulation results of the PWMM, demonstrating the application of rational hybrid Monte Carlo to this supersymmetric model.

Findings

Insights into the deconfinement transition at strong coupling

Validation of lattice simulation techniques for supersymmetric quantum mechanics

Initial data on the phase structure of PWMM

Abstract

We present results of lattice simulations of the Plane Wave Matrix Model (PWMM). The PWMM is a theory of supersymmetric quantum mechanics that has a well-defined canonical ensemble. We simulate this theory by applying rational hybrid Monte Carlo techniques to a naive lattice action. We examine the strong coupling behaviour of the model focussing on the deconfinement transition.