Understanding the Symmetric Mass Generation in Lattice-QCD

TL;DR

This paper investigates symmetric mass generation (SMG) in lattice QCD, demonstrating that staggered fermions meet the criteria for SMG and proposing phenomenological signatures and RG flow behaviors.

Contribution

It establishes that staggered fermions satisfy the conditions for SMG and introduces phenomenological signatures like Goldstone tetraquark mesons.

Findings

SMG signatures observed in lattice QCD with staggered fermions

Conditions for SMG are met by the Lee-Sharpe continuum action

Goldstone tetraquark mesons serve as signatures of the SMG phase

Abstract

Signatures of symmetric mass generation (SMG) have recently been reported in lattice QCD calculations employing staggered fermions. We discuss the general criteria for SMG, and demonstrate that these conditions are indeed met by the staggered fermion action, in particular by the continuum action derived by Lee and Sharpe. We propose possible RG flow around the SMG transition, guided by the numerical results. We also point out that the Goldstone tetraquark meson states provide a phenomenological signature of the "type-II" SMG phase.