Problems in Quantum Field Theory

With Fully-Worked Solutions

François Gelis

• Publisher: Cambridge University Press
• Year: 2021
• Print ISBN: 9781108838801
• eBook ISBN: 9781108985901
• Topic: Physical Sciences
• Subtopic: Mathematical & Computational Physics

This collection of problems in Quantum Field Theory, accompanied by their complete solutions, aims to bridge the gap between learning the foundational principles and applying them practically. The carefully chosen problems cover a wide range of topics, starting from the foundations of Quantum Field Theory and the traditional methods in perturbation theory, such as LSZ reduction formulas, Feynman diagrams and renormalization. Separate chapters are devoted to functional methods (bosonic and fermionic path integrals; worldline formalism), to non-Abelian gauge theories (Yang-Mills theory, Quantum Chromodynamics), to the novel techniques for calculating scattering amplitudes and to quantum field theory at finite temperature (including its formulation on the lattice, and extensions to systems out of equilibrium). The problems range from those dealing with QFT formalism itself to problems addressing specific questions of phenomenological relevance, and they span a broad range in difficulty, for graduate students taking their first or second course in QFT.

Table of contents

• Cover
• Half-title
• Title page
• Copyright information
• Dedication
• Epigraph
• Contents
• List of Figures and Tables
• Preface
• Acknowledgements
• Notation and Conventions
• 1 Quantum Field Theory Basics
• 2 Functional Methods
• 3 Non-Abelian Fields
• 4 Scattering Amplitudes
• 5 Lattice, Finite T, Strong Fields
• Index