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

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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

恭維

single

,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.

Coma704

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

Lament

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

Lament

情感脆弱

coltish

山羊

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