*(English)*Zbl 0844.00006

The whole series of German textbooks by W. Greiner and coauthors covering all of theoretical physics now gets translated into English. This volume on field quantization is one of five volumes explaining quantum theory to physics students.

The introductory part of this book reminds the reader of the classical theory of fields with a special emphasis on symmetries and conservation laws.

The main part deals with the canonical quantization (of the relativistic Schrödinger field and relativistic fields with spin 0,1/2 and 1), interacting quantum fields (perturbation theory, scattering matrix) and discrete symmetry transformations. The last part describes the modern approach of path integral quantization.

This book is very attractive, since the authors always start with simple examples or simple situations, they explain the problems ahead and motivate the approaches and mathematical tools to be used. A large number of worked examples help to understand the theoretical concepts.