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oapen-20.500.12657-592072022-11-16T12:31:06Z Mathematics of Quantization and Quantum Fields Dereziński, Jan Gérard, Christian Quantum field theory bic Book Industry Communication::P Mathematics & science::PH Physics::PHN Nuclear physics 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. 2022-11-10T16:05:50Z 2022-11-10T16:05:50Z 2013 book ONIX_20221110_9781009290876_6 9781009290876 9781009290821 978100929083 https://library.oapen.org/handle/20.500.12657/59207 eng application/pdf Attribution-NonCommercial-NoDerivatives 4.0 International 9781009290876.pdf Cambridge University Press 10.1017/9781009290876 10.1017/9781009290876 7607a2d0-47af-490f-9d2a-8c9340266f8a c2fbf30c-ef0f-473b-8ee4-03e135ae04d0 9781009290876 9781009290821 978100929083 SCOAP3 for Books 674 Cambridge [...] SCOAP3 open access
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English
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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.
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9781009290876.pdf
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9781009290876.pdf
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title_short |
9781009290876.pdf
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title_full |
9781009290876.pdf
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9781009290876.pdf
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9781009290876.pdf
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9781009290876.pdf
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publisher |
Cambridge University Press
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2022
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1771297591273717760
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