Lattice Calculation of Point-to-Point Hadron Current Correlation

TL;DR

This paper computes point-to-point hadron current correlations using lattice QCD, compares results with phenomenology, and explores their use in sum rules and instanton models, advancing understanding of QCD vacuum structure.

Contribution

It introduces lattice calculations of hadron current correlations and analyzes their physical implications, bridging lattice QCD with phenomenological and instanton-based approaches.

Findings

Qualitative agreement with experimental data in certain channels

Correlation functions useful for sum rule approximations

Insights into QCD vacuum structure from lattice calculations

Abstract

Point-to-point correlation functions of hadron currents in the QCD vacuum are calculated on a lattice and analyzed using dispersion relations, providing physical information down to small spatial separations. Qualitative agreement with phenomenological results is obtained in channels for which experimental data are available, and these correlation functions are shown to be useful in exploring approximations based on sum rules and interacting instantons.