This book reflects the diversity of approaches and tools developed to understand the mathematical aspects of quantization and quantum field theory. As its title indicates, this textbook presents the basic ideas and tools from quantum field theory to a mathematical audience.
The fundamental objects in quantum field theory are operator-valued distributions. Hence, before you can learn quantum field theory, there are some serious prerequisites, including operators in Hilbert space, tensor algebras, canonical commutation and Fock spaces.
This book is definitely aimed more at mathematicians than physicists. It’s a wonderful resource for anyone who wants to understand exactly what quantum field theory is.
Review by Christian Brosseau, Optica Fellow and professor of physics, Université de Bretagne Occidentale, Brest, France.
The opinions expressed in the book review section are those of the reviewer and do not necessarily reflect those of OPN or its publisher, Optica (formerly OSA).