Asymptotic analysis and quantum integrable models

TL;DR

This thesis reviews the author's work on the asymptotic behavior of correlation functions in quantum integrable models, highlighting advances in understanding their long-distance and long-time properties.

Contribution

It provides a comprehensive analysis of asymptotic regimes in quantum integrable models, offering new insights into their correlation functions.

Findings

Detailed asymptotic descriptions of correlation functions

Identification of regimes with distinct physical behaviors

Advancements in mathematical techniques for integrable models

Abstract

This habilitation thesis reviews the progress made by the author respectively to studying various asymptotic regimes of correlation functions in quantum integrable models.