A method to study complex systems of mesons in Lattice QCD

TL;DR

This paper introduces recursion relations for multi-meson correlation functions in Lattice QCD, enabling the study of complex, high-density mesonic systems of arbitrary size and composition.

Contribution

The authors derive recursion relations that extend the analysis of multi-meson systems in Lattice QCD to arbitrary numbers and types of mesons, facilitating finite-density studies.

Findings

Recursion relations enable analysis of systems with many mesons.

Method allows study of systems with multiple meson types.

Supports finite-density and high-density system exploration.

Abstract

Finite density systems can be explored with Lattice QCD through the calculation of multi-hadron correlation functions. Recently, systems with up to 12 $\pi^+$'s or $K^+$'s have been studied to determine the 3-$\pi^+$ and 3-$K^+$ interactions, and the corresponding chemical potentials have been determined as a function of density. We derive recursion relations between correlation functions that allow this work to be extended to systems of arbitrary numbers of mesons and to systems containing many different types of mesons, such as $\pi^+$'s, $K^+$'s, $\bar{D}^0$'s and $B^+$'s. These relations allow for the study of finite-density systems in arbitrary volumes, and for the study of high-density systems.