Study of thermal SU(3) supersymmetric Yang-Mills theory and near-conformal theories from the gradient flow

TL;DR

This paper investigates the renormalization group flow of the mass anomalous dimension in adjoint QCD with various flavors using the gradient flow, and explores thermal phase transitions in SU(3) supersymmetric Yang-Mills theory, revealing near-conformal behavior and symmetry connections.

Contribution

It provides new lattice results on the IR behavior of adjoint QCD with different flavors and insights into the thermal phase structure of supersymmetric Yang-Mills theory.

Findings

Agreement with near-conformal scenarios at various flavor numbers

Strongest IR conformal fixed point indication at highest flavor numbers

Hints of a connection between chiral and center symmetries during phase transition

Abstract

We compute the renormalization group flow of the mass anomalous dimension in adjoint QCD with $N_{f}=1$, $3/2$, and 2 Dirac fermions, using the gradient flow. Preliminary results are in agreement with at least a near-conformal scenario in all cases. At the largest flavor numbers we obtain the strongest indication for an IR conformal fixed point scenario. Moreover, we provide results for the thermal phase transitions in SU(3) supersymmetric Yang-Mills theory. We find hints for a connection between chiral and center symmetries in terms of a single first order phase transition where chiral symmetry is restored and center symmetry gets broken.