Problem Book in Quantum Field Theory

The Problem Book in Quantum Field Theory contains about 200 problems with solutions or hints that help students to improve their understanding and develop skills necessary for pursuing the subject. The solutions are presented in a systematic and complete manner.

This Problem Book is based on the exercises and lectures which I have given to undergraduate and graduate students of the Faculty of Physics, University of Belgrade over many years. Nowadays, there are a lot of excellent Quantum Field Theory textbooks. Unfortunately, there is a shortage of Problem Books inthis?eld,oneoftheexceptionsbeingtheProblemBookofChengandLi[7]. The overlap between this Problem Book and [7] is very small, since the latter mostly deals with gauge ?eld theory and particle physics. Textbooks usually contain problems without solutions. As in other areas of physics doing more problems in full details improves both understanding and e?ciency. So, I feel that the absence of such a book in Quantum Field Theory is a gap in the literature. This was my main motivation for writing this Problem Book. To students: You cannot start to do problems without previous stu- ing your lecture notes and textbooks. Try to solve problems without using solutions; they should help you to check your results. The level of this Pr- lem Book corresponds to the textbooks of Mandl and Show [15]; Greiner and Reinhardt [11] and Peskin and Schroeder [16]. Each Chapter begins with a short introduction aimed to de?ne notation. The ?rst Chapter is devoted to the Lorentz and Poincar´ esymmetries. Chapters 2, 3 and 4 deal with the re- tivistic quantum mechanics with a special emphasis on the Dirac equation. In Chapter 5 we present problems related to the Euler-Lagrange equations and the Noether theorem.

Includes more than 200 problems with detailed solutions

Topics covered include the Klein-Gordon and Dirac equations; classical field theory; canonical quantization of scalar, Dirac and electromagnetic fields; the processes in the lowest order of perturbation theory; renormalization and regularization

Appropriate for advanced undergraduate and graduate students, and useful for educators and researchers

This book has no direct competition

Texte du rabat
The Problem Book in Quantum Field Theory contains about 200 problems with solutions or hints that help students to improve their understanding and develop skills necessary for pursuing the subject. It deals with the Klein-Gordon and Dirac equations, classical field theory, canonical quantization of scalar, Dirac and electromagnetic fields, the processes in the lowest order of perturbation theory, renormalization and regularization. The solutions are presented in a systematic and complete manner. The material covered and the level of exposition make the book appropriate for graduate and undergraduate students in physics, as well as for teachers and researchers. The new edition is a corrected paperback edition for students.

Contenu
Problems.- Lorentz and Poincaré symmetries.- The Klein-Gordon equation.- The ?-matrices.- The Dirac equation.- Classical field theory and symmetries.- Green functions.- Canonical quantization of the scalar field.- Canonical quantization of the Dirac field.- Canonical quantization of the electromagnetic field.- Processes in the lowest order of perturbation theory.- Renormalization and regularization.- Solutions.- Lorentz and Poincaré symmetries.- The Klein-Gordon equation.- The ?-matrices.- The Dirac equation.- Classical fields and symmetries.- Green functions.- Canonical quantization of the scalar field.- Canonical quantization of the Dirac field.- Canonical quantization of the electromagnetic field.- Processes in the lowest order of the perturbation theory.- Renormalization and regularization.