The Chiral Extension of Lattice QCD

TL;DR

This paper introduces the chiral extension of lattice QCD (XQCD), enabling simulations at the chiral limit with zero-mass Goldstone modes, and discusses its theoretical foundations and preliminary computational results.

Contribution

It presents the formulation of XQCD with explicit pseudoscalar meson fields and explores its potential to simulate chiral symmetry more effectively than traditional lattice QCD.

Findings

Preliminary results show convergence of XQCD with naive fermions.

Methodology for adding counter terms to restore chiral symmetry in Wilson fermions.

Theoretical arguments support universality class equivalence with traditional lattice QCD.

Abstract

The chiral extension of Quantum Chromodynamics (XQCD) adds to the standard lattice action explicit pseudoscalar meson fields for the chiral condensates. With this action, it is feasible to do simulations at the chiral limit with zero mass Goldstone modes. We review the arguments for why this is expected to be in the same universality class as the traditional action. We present preliminary results on convergence of XQCD for naive fermions and on the methodology for introducing counter terms to restore chiral symmetry for Wilson fermions.