Fourier analysis of the flux-tube distribution in SU(3) lattice QCD

TL;DR

This paper introduces a Fourier-based method to analyze flux-tube distributions in SU(3) lattice QCD, effectively removing high-momentum gluons to clarify the flux-tube structure and reduce fluctuations.

Contribution

It presents a novel Fourier analysis technique to isolate flux-tube components in lattice QCD, improving understanding of the flux distribution around static quark pairs.

Findings

High-momentum gluon removal suppresses statistical fluctuations.

Flux-tube component is broadly distributed around the quark-antiquark line.

Singularities from quark self-energy disappear after high-momentum gluon removal.

Abstract

This letter presents a novel analysis of the action/energy density distribution around a static quark-antiquark pair in SU(3) lattice quantum chromodynamics. Using the Fourier transformation of the link variable, we remove the high-momentum gluon and extract the flux-tube component from the action/energy density. When the high-momentum gluon is removed, the statistical fluctuation is drastically suppressed, and the singularities from the quark self-energy disappear. The obtained flux-tube component is broadly distributed around the line connecting the quark and the antiquark.