Three particle quantization condition in a finite volume: 2. general formalism and the analysis of data

TL;DR

This paper develops a general formalism for the three-particle quantization condition in finite volume using effective field theory, enabling extraction of physical observables from lattice spectra and illustrating the approach with model calculations.

Contribution

It introduces a comprehensive three-particle quantization condition in finite volume within an effective field theory framework, expanding the tools for lattice QCD analysis.

Findings

Derived the three-particle quantization condition in finite volume.

Demonstrated the formalism with model calculations below and above threshold.

Discussed the relation to existing approaches.

Abstract

We derive the three-body quantization condition in a finite volume using an effective field theory in the particle-dimer picture. Moreover, we consider the extraction of physical observables from the lattice spectrum using the quantization condition. To illustrate the general framework, we calculate the volume-dependent three-particle spectrum in a simple model both below and above the three-particle threshold. The relation to existing approaches is discussed in detail.