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Resurgence in Integrable Field Theories - Lecture 1

Offered By: Institut des Hautes Etudes Scientifiques (IHES) via YouTube

Tags

Quantum Field Theory Courses Free Energies Courses Chemical Potential Courses Perturbation Theory Courses Resurgence Theory Courses

Course Description

Overview

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Explore the resurgent properties of integrable field theories in two dimensions through this comprehensive lecture. Begin with a brief recap of Borel resummations and a historical overview of perturbation theory in quantum field theory. Delve into basic resurgence concepts and their application to three well-known integrable field theories that are UV-free, develop a mass gap in the IR, admit a 1/N expansion, and exhibit renormalon singularities. Examine the interplay between resurgent properties and the 1/N expansion, focusing on the free energy in the presence of a chemical potential coupled to a conserved charge. Learn about exact computations using thermodynamic Bethe ansatz techniques and large N QFT methods, as well as results at finite N. Cover key topics including the Dyson argument, logic series, optimal truncation, and the Linear Theorem, providing a comprehensive understanding of resurgence in integrable field theories.

Syllabus

Introduction
Lecture Plan
Key Point
References
Basics
Dyson argument recast
Logic series
Optimal truncation
More coupling more terms
Minimize
FB
Linear Theorem


Taught by

Institut des Hautes Etudes Scientifiques (IHES)

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