Problems in Quantum Field Theory
With Fully-Worked Solutions

A collection of problems in QFT, with complete solutions, for graduate students taking their first or second course.

François Gelis (Author)

9781108972352, Cambridge University Press

Paperback / softback, published 26 August 2021

375 pages
25.2 x 17.7 x 2.1 cm, 0.718 kg

'… 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

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.

Preface
Acknowledgements
Notations and Conventions
Part I. Quantum Field Theory Basics
Part II. Functional Methods
Part III. Non-Abelian Fields
Part IV. Scattering Amplitudes
Part V. Lattice, Finite T, Strong Fields
Index.

Subject Areas: Mathematical physics [PHU], Quantum physics [quantum mechanics & quantum field theory PHQ], Particle & high-energy physics [PHP]