The Energy of n Identical Bosons in a Finite Volume at O(L^{-7})

TL;DR

This paper calculates the finite-volume energy shift of n identical bosons at order L^{-7}, aiding precise extraction of three-pion interactions from lattice QCD simulations.

Contribution

It provides a detailed theoretical calculation of the volume dependence of bosonic energy levels at high order, improving the accuracy of lattice QCD analyses.

Findings

Derived the energy shift at order L^{-7} for n bosons

Enhanced the precision in determining three-pion interactions from lattice data

Established a framework for finite-volume energy corrections

Abstract

The volume dependence of the ground-state energy of n identical bosons with short-range interactions in a periodic spatial volume with sides of length L is calculated at order L^{-7} in the large volume expansion. This result will enable a refined determination of the pi^+ pi^+ pi^+ interaction from lattice QCD calculations.