Ground-state energy shift of n pions and m kaons in a finite volume

TL;DR

This paper derives a finite-volume energy shift formula for systems of pions and kaons, enabling the extraction of multi-particle interactions from lattice QCD simulations.

Contribution

It provides a higher-order (up to L^-6) analytical calculation of ground-state energy shifts for mixed pion-kaon systems in finite volume, extending previous work.

Findings

Derived energy shift formula up to order L^-6

Enables extraction of two- and three-body interactions from lattice data

Facilitates more precise lattice QCD studies of meson interactions

Abstract

The ground state energy of a collection of n pions and m kaons with short range interactions is calculated for a volume with finite spatial extent L and periodic boundary conditions. This calculation is accomplished to order L^-6 in the large volume expansion. With this result one can extract the various two- and three-body interactions between pions and kaons from lattice QCD data.