Mass anomalous dimension of Adjoint QCD at large N from twisted volume reduction

TL;DR

This paper investigates the conformal properties of large N adjoint QCD using twisted volume reduction, analyzing eigenvalues to determine the mass anomalous dimension, thus providing insights into non-perturbative dynamics.

Contribution

It introduces a novel approach to study large N adjoint QCD via twisted reduced models on a single site lattice, enabling analysis of eigenvalues for large N.

Findings

Confirmed conformality of the model at large N

Extracted the mass anomalous dimension from eigenvalue distributions

Demonstrated the effectiveness of twisted volume reduction for large N studies

Abstract

In this work we consider the $SU(N)$ gauge theory with two Dirac fermions in the adjoint representation, in the limit of large $N$. In this limit the infinite-volume physics of this model can be studied by means of the corresponding twisted reduced model defined on a single site lattice. Making use of this strategy we study the reduced model for various values of $N$ up to 289. By analyzing the eigenvalue distribution of the adjoint Dirac operator we test the conformality of the theory and extract the corresponding mass anomalous dimension.