Lattice analysis for the energy scale of QCD phenomena

TL;DR

This paper introduces a novel lattice QCD framework using Fourier transforms of link variables to nonperturbatively identify the energy scales relevant for QCD phenomena, such as confinement.

Contribution

It presents a new method to determine the intrinsic energy scale of QCD phenomena directly from lattice calculations, applicable broadly across different observables.

Findings

Gluonic energy scale for confinement is below 1 GeV in specific gauges.

Framework successfully applied to quark-antiquark potential and meson masses.

Provides a gauge-dependent but broadly applicable nonperturbative analysis tool.

Abstract

We formulate a new framework in lattice QCD to study the relevant energy scale of QCD phenomena. By considering the Fourier transformation of link variable, we can investigate the intrinsic energy scale of a physical quantity nonperturbatively. This framework is broadly available for all lattice QCD calculations. We apply this framework for the quark-antiquark potential and meson masses in quenched lattice QCD. The gluonic energy scale relevant for the confinement is found to be less than 1 GeV in the Landau or Coulomb gauge.