Mathematics of Quantization and Quantum Fields

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.

Author: Jan Dereziński, Christian Gérard
Publisher: Cambridge University Press
Published: 02/09/2023
Pages: 688
Binding Type: Paperback
Weight: 2.37lbs
Size: 9.61h x 6.69w x 1.38d
ISBN: 9781009290838

About the Author
Gerard, Christian: - Christian Gerard is a Professor in the Departement de Mathematiques at the Universite Paris-Sud. He was previously Directeur de Recherche at the CNRS (Centre National de la Recherche Scientifique). His research interests are the spectral and scattering theory in non-relativistic quantum mechanics and in quantum field theory.