Applications of Massive Integrable Quantum Field Theories to Problems in Condensed Matter Physics

TL;DR

This paper reviews how integrable quantum field theories like the sine-Gordon and O(N) models are applied to analyze dynamical responses in condensed matter systems such as quantum magnets and nanotubes, using form factor methods.

Contribution

It provides a detailed review of applying form factor expansions in integrable quantum field theories to compute response functions in condensed matter physics.

Findings

Successful computation of dynamical response functions

Application of form factor methods to various models

Enhanced understanding of quantum correlations in materials

Abstract

We review applications of the sine-Gordon model, the O(3) non-linear sigma model, the U(1) Thirring model, and the O(N) Gross--Neveu model to quasi one-dimensional quantum magnets, Mott insulators, and carbon nanotubes. We focus upon the determination of dynamical response functions for these problems. These quantities are computed by means of form factor expansions of quantum correlation functions in integrable quantum field theories. This approach is reviewed here in some detail.