Mathematics of quantization and quantum fields

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 commutatio...

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Detalles Bibliográficos
Otros Autores: Dereziński, Jan, 1957- author (author), Gérard, Christian, author
Formato: Libro electrónico
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press 2022.
Edición:1st ed
Colección:Cambridge monographs on mathematical physics.
Materias:
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009701186406719
Descripción
Sumario: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.
Notas:Reissued as Open Access in 2022. Originally published in 2013.
Title from publisher's bibliographic system (viewed on 04 Nov 2022).
Descripción Física:1 online resource (xii, 674 pages) : digital, PDF file(s)
ISBN:9781009290876
Acceso:Open Access.