Semiclassical Geometry of 4D Reduced Supersymmetric Yang-Mills Integrals

TL;DR

This paper studies the semiclassical geometry of 4D supersymmetric Yang-Mills integrals by using Monte Carlo simulations on an effective branched polymer model, revealing insights into large-distance behaviors.

Contribution

It introduces a one-loop approximation to analyze the low energy limit of supersymmetric Yang-Mills integrals through an effective branched polymer model, providing numerical results on geometric observables.

Findings

Gyration radius behavior characterized

Two-point correlation function analyzed

Polyakov-line operator behavior explored

Abstract

We investigate semiclassical properties of space-time geometry of the low energy limit of reduced four dimensional supersymmetric Yang-Mills integrals using Monte-Carlo simulations. The limit is obtained by an one-loop approximation of the original Yang-Mills integrals leading to an effective model of branched polymers. We numerically determine the behaviour of the gyration radius, the two-point correlation function and the Polyakov-line operator in the effective model and discuss the results in the context of the large-distance behaviour of the original matrix model.