Lattice Analysis of Two-Point Hadronic Correlators in the QCD Vacuum

TL;DR

This paper presents the first lattice QCD analysis of vacuum correlators of local hadronic currents across various meson and baryon channels, comparing results with experimental data and theoretical models.

Contribution

It introduces a novel lattice QCD approach to analyze vacuum correlators in multiple hadronic channels, providing insights into instanton effects and sum rule calculations.

Findings

Qualitative agreement with experimental results in some channels

Insights into instanton approximations and sum rule calculations

First lattice analysis of these correlators across multiple channels

Abstract

Results from the first lattice QCD analysis of vacuum correlators of local hadronic currents using dispersion relations are presented. We have explored the vector, pseudoscalar, axial, and scalar meson channels, and the proton-like and delta-like baryon channels. The lattice results are shown to agree qualitatively with experimental results in channels where experimental data exist, and shed insight into interacting instanton approximations and sum rule calculations in the other channels. 3 figures included (as PostScript files): pi.ps, nd.ps, va.ps : Search for %%% to retrieve the files. Latex file, needs espcrc2.sty (Search for %%%).