Mathematics of Quantization and Quantum Fields (Cambridge Monographs on Mathematical Physics) - Hardcover

Dereziński, Jan; Gérard, Christian

Hardcover

ISBN 10: 1009290827 ISBN 13: 9781009290821

Publisher: Cambridge University Press, 2023

Synopsis

Unifying topics that are scattered throughout the literature, this book offers a definitive review of mathematical aspects of quantization and quantum field theory. It presents both basic and advanced topics of quantum field theory in a mathematically consistent way, focusing on canonical commutation and anti-commutation relations. It begins with a discussion of the mathematical structures underlying free bosonic or fermionic fields: tensors, algebras, Fock spaces, and CCR and CAR representations. Applications of these topics to physical problems are discussed in later chapters. Although most of the book is devoted to free quantum fields, it also contains an exposition of two important aspects of interacting fields: diagrammatics and the Euclidean approach to constructive quantum field theory. With its in-depth coverage, this text is essential reading for graduate students and researchers in mathematics and physics. This title, first published in 2013, has been reissued as an Open Access publication on Cambridge Core.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2023
• Language: English
• ISBN 10: 1009290827
• ISBN 13: 9781009290821
• Binding: Hardcover
• Edition number: 1
• Number of pages: 688