Three-particle quantization condition: an update

TL;DR

This paper updates the derivation of a quantization condition linking finite-volume three-particle spectra to infinite-volume scattering data, correcting previous technical issues and discussing remaining open questions.

Contribution

It provides a corrected and detailed derivation of the three-particle quantization condition, addressing prior technical problems and clarifying the theoretical framework.

Findings

Resolved technical issues in the original derivation

Presented a detailed corrected derivation

Outlined open questions for future research

Abstract

We give an update on our derivation of a quantization condition relating the finite-volume spectrum of three particles in a cubic box to infinite-volume scattering quantities. We have discovered and fixed technical problems in the derivation sketched in the proceedings of last year's lattice conference [arXiv:1311.4848], and have presented a detailed description of the corrected derivation in Ref. [arXiv:1408.5933]. Here we give an overview of the problems and their solutions, and describe open questions.