SU(3) sextet model with Wilson fermions

TL;DR

This study investigates the phase structure and spectral properties of the SU(3) sextet model with Wilson fermions, providing evidence for multiple phases and analyzing meson and baryon observables in the weak coupling regime.

Contribution

The paper offers the first comprehensive analysis of the SU(3) sextet model with Wilson fermions, including phase identification and spectral observable measurements in the chiral limit.

Findings

Evidence for multiple phases, including a bulk phase with broken chiral symmetry.

Spectral observables diverge in the weak coupling phase as the chiral limit is approached.

Data tested against IR conformal and chirally broken hypotheses.

Abstract

We present our final results for the SU(3) sextet model with the non-improved Wilson fermion discretization. We find evidence for several phases of the lattice model, including a bulk phase with broken chiral symmetry. We study the transition between the bulk and weak coupling phase which corresponds to a significant change in the qualitative behavior of spectral and scale setting observables. In particular the t0 and w0 observables seem to diverge in the chiral limit in the weak coupling phase. We then focus on the study of spectral observables in the chiral limit in the weak coupling phase at infinite volume. We consider the masses and decay constants for the pseudoscalar and vector mesons, the mass of the axial vector meson and the spin-1/2 baryon as a function of the quark mass, while controlling finite volume effects. We then test our data against both the IR conformal and the chirally broken hypotheses.