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...

Deskribapen osoa

Gorde:
Xehetasun bibliografikoak
Egile Nagusiak: Dereziński, Jan, Gérard, Christian
Formatua: Online
Hizkuntza:ingelesa
Argitaratua: Cambridge University Press 2022
Gaiak:
Sarrera elektronikoa:ONIX_20221110_9781009290876_6
Etiketak: Etiketa erantsi
Etiketarik gabe, Izan zaitez lehena erregistro honi etiketa jartzen!
_version_ 1869518854051332096
author Dereziński, Jan
Gérard, Christian
author_browse Dereziński, Jan
Gérard, Christian
author_facet Dereziński, Jan
Gérard, Christian
author_sort Dereziński, Jan
collection Directory of Open Access Books
description 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.
format Online
id doab-20.500.12854ir-93540
institution Directory of Open Access Books
language eng
publishDate 2022
publishDateRange 2022
publishDateSort 2022
publisher Cambridge University Press
publisherStr Cambridge University Press
record_format ojs
spelling doab-20.500.12854ir-935402025-08-13T13:41:27Z Mathematics of Quantization and Quantum Fields Dereziński, Jan Gérard, Christian Quantum field theory thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics thema EDItEUR::P Mathematics and 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. 2022-11-11T04:04:11Z 2022-11-11T04:04:11Z 2022-11-10T16:05:50Z 2013 book ONIX_20221110_9781009290876_6 OCN: 842929982 https://library.oapen.org/handle/20.500.12657/59207 9781009290876 9781009290821 978100929083 https://directory.doabooks.org/handle/20.500.12854/93540 eng open access image/jpeg image/jpeg image/jpeg image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International Attribution-NonCommercial-NoDerivatives 4.0 International Attribution-NonCommercial-NoDerivatives 4.0 International Attribution-NonCommercial-NoDerivatives 4.0 International https://library.oapen.org/bitstream/20.500.12657/59207/1/9781009290876.pdf https://library.oapen.org/bitstream/20.500.12657/59207/1/9781009290876.pdf https://library.oapen.org/bitstream/20.500.12657/59207/1/9781009290876.pdf https://library.oapen.org/bitstream/20.500.12657/59207/1/9781009290876.pdf Cambridge University Press 10.1017/9781009290876 10.1017/9781009290876 12615a55-20f1-4eb5-a6c9-5eb6541f63e5 SCOAP3 c2fbf30c-ef0f-473b-8ee4-03e135ae04d0 9781009290876 9781009290821 978100929083 SCOAP3 for Books 674 Cambridge [...] open access
spellingShingle Quantum field theory
thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics
thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics
Dereziński, Jan
Gérard, Christian
Mathematics of Quantization and Quantum Fields
title Mathematics of Quantization and Quantum Fields
title_full Mathematics of Quantization and Quantum Fields
title_fullStr Mathematics of Quantization and Quantum Fields
title_full_unstemmed Mathematics of Quantization and Quantum Fields
title_short Mathematics of Quantization and Quantum Fields
title_sort mathematics of quantization and quantum fields
topic Quantum field theory
thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics
thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics
topic_facet Quantum field theory
thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics
thema EDItEUR::P Mathematics and Science::PH Physics::PHN Nuclear physics
url ONIX_20221110_9781009290876_6
work_keys_str_mv AT derezinskijan mathematicsofquantizationandquantumfields
AT gerardchristian mathematicsofquantizationandquantumfields