A Study of Hadron Deformation in Lattice QCD

TL;DR

This paper introduces a formalism and computational techniques in lattice QCD to evaluate density-density correlators, revealing hadron deformation, especially in the rho-meson, through novel methods like the one-end trick.

Contribution

It develops a new formalism and implements the one-end trick for lattice QCD density correlators, enabling the study of hadron deformation with dynamical Wilson fermions.

Findings

Density-density correlators show rho-meson deformation.

The one-end trick improves computational efficiency.

Results demonstrate hadron shape deformation in lattice QCD.

Abstract

We develop the formalism for the evaluation of density-density correlators in lattice QCD that includes techniques for the computation of the all-to-all propagators involved. A novel technique in this context is the implementation of the one-end trick in the meson sector. Density-density correlators provide a gauge invariant definition for the hadron wave function and yield information on hadron deformation. We evaluate density-density correlators using two degenerate flavors of dynamical Wilson fermions for the pion, the rho-meson, the nucleon and the $\Delta$. Using the one-end trick we obtain results that clearly show deformation of the rho-meson.