Coherent lattice QCD

TL;DR

This paper proposes a new lattice QCD formulation based on the lattice Dirac operator with exact chiral symmetry, aiming to better understand QCD vacuum structure and gauge-fermion interrelations.

Contribution

It introduces a novel lattice QCD approach using the Dirac operator with exact chiral symmetry, connecting gauge and fermionic aspects more transparently.

Findings

Proposes a lattice QCD regularization based on the trace of the Dirac operator.

Highlights the locality and classical limit properties of the gauge density.

Explores potential applications in studying QCD vacuum structure.

Abstract

We discuss a proposal for the construction of lattice QCD with gauge action, fermionic action, theta-term, and the operators all based on the lattice Dirac operator D with exact chiral symmetry. The simplest regularization of this type uses the proposition that the classical limit of scalar gauge density associated with trace of D is (up to an additive constant) proportional to tr(FF), while the corresponding operator is local. More general formulations from this class are considered with the aim of exposing interrelations between gauge and fermionic aspects of QCD which are otherwise hidden in generic formulations. Possible utility of these formulations for exploring QCD vacuum structure is emphasized.