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  3. Mathematics of Quantization and Quantum Fields
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  • This product is now available open access under ISBN 9781009290876
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  • Publisher:
    Cambridge University Press
    Publication date:
    05 March 2013
    07 March 2013
    ISBN:
    9780511894541
    DOI:
    https://doi.org/10.1017/CBO9780511894541
    Dimensions:
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    • Subjects:
    Mathematics, Physics and Astronomy, Mathematical Physics, Theoretical Physics and Mathematical Physics
    Series:
    Cambridge Monographs on Mathematical Physics
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Subjects:
Mathematics, Physics and Astronomy, Mathematical Physics, Theoretical Physics and Mathematical Physics
Series:
Cambridge Monographs on Mathematical Physics
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Book description

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, like 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.

Reviews

'… offers much highly valuable material.'

Stig Stenholm Source: Contemporary Physics

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