Three particles on the lattice

TL;DR

This paper reviews theoretical frameworks for analyzing three-particle lattice data, emphasizing the importance of separating short- and long-range effects using effective field theory, and illustrates these methods with practical examples.

Contribution

It provides a comprehensive review of existing methods for three-particle lattice analysis, highlighting the effective field theory approach for separating effects.

Findings

Effective field theory facilitates separation of short- and long-range effects.

Frameworks enable more natural and efficient analysis of three-particle lattice data.

Illustrative examples demonstrate practical application of the methods.

Abstract

I give a review of existing frameworks, which are designed to analyse lattice data in the three-particle sector. A particular emphasis is laid on the foundations of the theory, where the separation of the short- and long-range effects plays a central role. It is shown that the use of the effective field theory approach enables one to carry out this separation in a natural and efficient way. In conclusion, a few examples of the analysis of lattice data are considered for illustration.