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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Format: | eBook |
Language: | English |
Published: |
Cham
Springer Nature Switzerland
2024, 2024
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Edition: | 1st ed. 2024 |
Series: | Springer Theses, Recognizing Outstanding Ph.D. Research
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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