On the ground state of Yang-Mills theory

TL;DR

This paper explores the structure of the flux tube in Yang-Mills theory by examining the overlap of mesonic ground states with various gluonic distributions, using non-uniform smearing techniques to optimize and analyze the flux tube's properties.

Contribution

It introduces non-uniform UV-regulated flux-tube operators that improve overlap with the ground state and provides new insights into the flux tube's transverse structure in Yang-Mills theory.

Findings

Non-uniform smearing enhances ground state overlap.

Flux tube exhibits interesting transverse features.

Optimized operators reveal flux tube structure.

Abstract

We investigate the overlap of the ground state meson potential with sets of mesonic-trial wave functions corresponding to different gluonic distributions. We probe the transverse structure of the flux tube through the creation of non-uniform smearing profiles for the string of glue connecting two color sources in Wilson loop operator. The non-uniformly UV-regulated flux-tube operators are found to optimize the overlap with the ground state and display interesting features in the ground state overlap.