Mathematics of quantization and quantum fields /
Dereziński, Jan, 1957-
Mathematics of quantization and quantum fields / Jan Dereziński, Christian Gérard. - 1 online resource (xii, 674 pages) : digital, PDF file(s). - Cambridge monographs on mathematical physics . - Cambridge monographs on mathematical physics. .
Reissued as Open Access in 2022. Originally published in 2013. Title from publisher's bibliographic system (viewed on 04 Nov 2022).
Open Access.
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.
9781009290876 (ebook)
Geometric quantization.
Quantum theory--Mathematics.
QC174.17.G46 / D47 2022
530.1201/51
Mathematics of quantization and quantum fields / Jan Dereziński, Christian Gérard. - 1 online resource (xii, 674 pages) : digital, PDF file(s). - Cambridge monographs on mathematical physics . - Cambridge monographs on mathematical physics. .
Reissued as Open Access in 2022. Originally published in 2013. Title from publisher's bibliographic system (viewed on 04 Nov 2022).
Open Access.
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.
9781009290876 (ebook)
Geometric quantization.
Quantum theory--Mathematics.
QC174.17.G46 / D47 2022
530.1201/51