Mathematics of Quantization and Quantum Fields

Jan Dereziński; Christian Gérard

doi:10.1017/9781009290876

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Ho, Jeongwon Kwon, O-Kab Park, Sang-A and Yi, Sang-Heon 2023. Supersymmetric backgrounds in (1 + 1) dimensions and inhomogeneous field theory. Journal of High Energy Physics, Vol. 2023, Issue. 11,

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Jan Dereziński, Uniwersytet Warszawski, Poland, Christian Gérard, Université Paris-Sud

Publisher:: Cambridge University Press
Online publication date:: November 2022
Print publication year:: 2023
Online ISBN:: 9781009290876
DOI:: https://doi.org/10.1017/9781009290876
Creative Commons:: This content is Open Access and distributed under the terms of the Creative Commons Attribution licence CC-BY-NC-ND 4.0 https://creativecommons.org/creativelicenses

Subjects:: Mathematics, Physics and Astronomy, Mathematical Physics, Theoretical Physics and Mathematical Physics
Series:: Cambridge Monographs on Mathematical Physics

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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 on Cambridge Core.

'… offers much highly valuable material.'

Stig Stenholm Source: Contemporary Physics

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