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

This book offers a systematic introduction to the Hopf algebra theory of renormalization in quantum field theory. Special emphasis is put on physical motivation for mathematical constructions, the role of Dyson–Schwinger equations (DSEs), renormalization conditions, and the renormalization group. Th...

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Bibliographic Details
Main Author: Balduf, Paul-Hermann
Format: eBook
Language:English
Published: Cham Springer Nature Switzerland 2024, 2024
Edition:1st ed. 2024
Series:Springer Theses, Recognizing Outstanding Ph.D. Research
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Introduction to perturbative quantum field theory
  • Hopf algebra theory of renormalization
  • Renormalized Green functions in kinematic renormalization
  • Renormalization group and Dyson-Schwinger equations in non-kinematic renormalization
  • Field diffeomorphisms and symmetries
  • Conclusion and outlook