Eigenvalue spectrum of lattice $\mathcal{N}=4$ super Yang-Mills

TL;DR

This paper investigates the eigenvalue spectrum of lattice ${ m N}=4$ super Yang-Mills theory, providing preliminary results that suggest the anomalous dimension is consistent with zero, contributing to understanding its non-perturbative properties.

Contribution

It offers the first lattice-based spectral analysis of ${ m N}=4$ super Yang-Mills, measuring the anomalous dimension through spectral density.

Findings

Spectral density measurement indicates anomalous dimension is consistent with zero.

Preliminary lattice results support conformal behavior.

Provides groundwork for non-perturbative studies of supersymmetric gauge theories.

Abstract

We present preliminary results for the eigenvalue spectrum of four-dimensional ${\cal N}=4$ super Yang-Mills theory on the lattice. In particular, by studying the the spectral density a measurement of the anomalous dimension is made and found to be consistent with zero.