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Titlebook: Dyson–Schwinger Equations, Renormalization Conditions, and the Hopf Algebra of Perturbative Quantum ; Paul-Hermann Balduf Book 2024 The Ed

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发表于 2025-3-21 18:02:02 | 显示全部楼层 |阅读模式
书目名称Dyson–Schwinger Equations, Renormalization Conditions, and the Hopf Algebra of Perturbative Quantum
编辑Paul-Hermann Balduf
视频video
概述Nominated as an outstanding Ph.D. Thesis by the Humboldt University, Berlin.Offers a systematic introduction to the Hopf algebra of renormalization in quantum field theory.Focuses on physical motivati
丛书名称Springer Theses
图书封面Titlebook: Dyson–Schwinger Equations, Renormalization Conditions, and the Hopf Algebra of Perturbative Quantum ;  Paul-Hermann Balduf Book 2024 The Ed
描述.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
出版日期Book 2024
关键词Renormalization conditions; Dyson-Schwinger Equation; Hopf algebra theory of renormalization; Physical
版次1
doihttps://doi.org/10.1007/978-3-031-54446-0
isbn_softcover978-3-031-54448-4
isbn_ebook978-3-031-54446-0Series ISSN 2190-5053 Series E-ISSN 2190-5061
issn_series 2190-5053
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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发表于 2025-3-21 23:13:16 | 显示全部楼层
2190-5053 ization in quantum field theory.Focuses on physical motivati.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 phy
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,Renormalization Group and DSEs in Non-kinematic Renormalization,ge in that case. In particular, we find that the anomalous dimension and the beta function still exist, but the concrete form of these functions depends on the scheme. We introduce the Minimal Subtraction scheme, arguably the most popular non-kinematic renormalization scheme, and discuss its most salient properties.
发表于 2025-3-22 09:51:53 | 显示全部楼层
The Value Proposition of Cultureion is entirely natural and compatible with the more traditional approach. We start in Sect. . with a review of formal power series and Hopf algebras. While well-known to mathematicians, these topics are not usually taught in physics courses, and the section includes basic definitions and examples i
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https://doi.org/10.1007/978-1-0716-0592-9nematic renormalization conditions. In Sect. ., we generalize our previous constructions, both in the language of Hopf algebras as well as in terms of traditional renormalization group equations, to incorporate arbitrary renormalization schemes. We establish which properties do and which do not chan
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Paul-Hermann BaldufNominated as an outstanding Ph.D. Thesis by the Humboldt University, Berlin.Offers a systematic introduction to the Hopf algebra of renormalization in quantum field theory.Focuses on physical motivati
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