Problems in Quantum Field Theory: With Fully-Worked Solutions

Description

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.

Francois Gelis is a researcher at the Institut de Physique Theorique of CEA-Saclay, France. He received his M.S. from Ecole Normale Superieure de Lyon and a Ph.D. from the Universite de Savoie. His research area is the theoretical study of the extreme phases of matter produced in heavy ion collisions. This led him to develop new Quantum Field Theory techniques to handle the strong fields encountered in these situations, for which he was awarded the Paul Langevin prize of the French physical society in 2015. He has taught QFT at Ecole Polytechnique since 2016.

'... a valuable bridge between textbook treatments and the modern literature and is an example of the type of volume often reported to be missing from the shelves. Libraries that serve universities teaching quantum field theory, or any institution with active research programs involving quantum field theory, should acquire this book ... Recommended.' M. C. Ogilvie, Choice Connect