# A method to study complex systems of mesons in Lattice QCD - High Energy Physics - Lattice

Abstract: Finite density systems can be explored with Lattice QCD through thecalculation of multi-hadron correlation functions. Recently, systems with up to12 $\pi^+$-s or $K^+$-s have been studied to determine the 3-$\pi^+$ and3-$K^+$ interactions, and the corresponding chemical potentials have beendetermined as a function of density. We derive recursion relations betweencorrelation functions that allow this work to be extended to systems ofarbitrary numbers of mesons and to systems containing many different types ofmesons, such as $\pi^+$-s, $K^+$-s, $\bar{D}^0$-s and $B^+$-s. These relationsallow for the study of finite-density systems in arbitrary volumes, and for thestudy of high-density systems.

Author: William Detmold, Martin J. Savage

Source: https://arxiv.org/