ISBN:
9781009290876
Language:
English
Pages:
1 Online-Ressource (xii, 674 Seiten)
,
Diagramme
Edition:
Reissued as OA
Series Statement:
Cambridge monographs on mathematical physics
Parallel Title:
Erscheint auch als Dereziński, Jan, 1957 - Mathematics of quantization and quantum fields
Keywords:
Geometric quantization
;
Quantum theory Mathematics
;
Quantum field theory
;
Mathematics
;
Quantenfeldtheorie
;
Mathematische Methode
Abstract:
"Unifying a range of topics that are currently scattered throughout the literature, this book offers a unique and definitive review of mathematical aspects of quantization and quantum field theory. The authors present both basic and more advanced topics of quantum field theory in a mathematically consistent way, focusing on canonical commutation and anti-commutation relations. They begin with a discussion of the mathematical structures underlying free bosonic or fermionic fields, such as tensors, algebras, Fock spaces and CCR and CAR representations (including their symplectic and orthogonal invariance). 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 departments of mathematics and physics"--
Note:
Includes bibliographical references (p. [661] - 667] and index
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