Multipoint Green's functions in 1+1 dimensional integrable quantum field theories

TL;DR

This paper computes multipoint Green's functions in 1+1 dimensional integrable quantum field theories, providing explicit calculations for specific models and demonstrating potential applications in physical phenomena like Raman scattering.

Contribution

It introduces a method to calculate multipoint Green's functions in integrable models using crossing formulas and applies it to several models with explicit results.

Findings

Explicit 3 and 4 point Green's functions for selected models

Application of results to physical phenomena such as Raman scattering

Demonstration of calculations in specific integrable models

Abstract

We calculate the multipoint Green functions in 1+1 dimensional integrable quantum field theories. We use the crossing formula for general models and calculate the 3 and 4 point functions taking in to account only the lower nontrivial intermediate states contributions. Then we apply the general results to the examples of the scaling $Z_{2}$ Ising model, sinh-Gordon model and $Z_{3}$ scaling Ising model. We demonstrate this calculations explicitly. The results can be applied to physical phenomena as for example to the Raman scattering.