Scattering from generalised lattice $\phi^4$ theory

TL;DR

This paper explores numerical techniques to extract scattering amplitudes from Euclidean lattice  theory with two fields of different masses, evaluating a new method for scattering length extraction and quantization conditions.

Contribution

It provides an exploratory analysis of a recent method for scattering length extraction and studies of two- and three-particle quantization conditions in lattice  theory.

Findings

Assessment of the new method for scattering length extraction.

Insights into two- and three-particle quantization conditions.

Comparison of different techniques for scattering amplitude extraction.

Abstract

We investigate numerically different techniques to extract scattering amplitudes from the Euclidean Lattice {\phi}4 theory with two fields, having different masses. We present an exploratory study of the recently proposed method by Bruno and Hansen for extracting the scattering length from a four-point function (cf 10.1007/JHEP06(2021)043), and a study of the two- and three-particle quantization condition.