Dyson-Schwinger Equations, Renormalization Conditions, and the Hopf Algebra of Perturbative Quantum Field Theory

Language: English

Published by Springer, Springer Apr 2024, 2024

3031544455 / 9783031544453

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This item is printed on demand - Print on Demand Titel. Neuware -This book offers a systematic introduction to the Hopf algebra of renormalization in quantum field theory, with a special focus on physical motivation, the role of Dyson¿Schwinger equations, and the renormalization group. All necessary physical and mathematical constructions are reviewed and motivated in a self-contained introduction. The main part of the book concerns the interplay between Dyson¿Schwinger equations (DSEs) and renormalization conditions. The book is explicit and consistent about whether a statement is true in general or only in particular renormalization schemes or approximations and about the dependence of quantities on regularization parameters or coupling constants. With over 600 references, the original literature is cited whenever possible and the book contains numerous references to other works discussing further details, generalizations, or alternative approaches. There are explicit examples and remarks to make the connection from the scalar fields at hand toQED and QCD. The book is primarily targeted at the mathematically oriented physicist who seeks a systematic conceptual overview of renormalization, Hopf algebra, and DSEs. These may be graduate students entering the field as well as practitioners seeking a self-contained account of the Hopf algebra construction. Conversely, the book also benefits the mathematician who is interested in the physical background of the exciting interplay between Hopf algebra, combinatorics and physics that is renormalization theory today.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 380 pp. Englisch.…

Seller Inventory # 9783031544453

Title
Dyson-Schwinger Equations, Renormalization Conditions, and the Hopf Algebra of Perturbative Quantum Field Theory
Author
Paul-Hermann Balduf
Publisher
Springer, Springer Apr 2024
Publication year
2024
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3031544455
ISBN 13
9783031544453
Item weight
735 grams
Dimensions
241x160x26 mm

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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