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Dyson-Schwinger equations for the non-linear σ-model

✍ Scribed by Jean-Michel Drouffe; Henrik Flyvbjerg


Book ID
116147675
Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
1017 KB
Volume
332
Category
Article
ISSN
0550-3213

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An Étude in non-linear Dyson–Schwinger E
✍ Dirk Kreimer; Karen Yeats 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 226 KB

We show how to use the Hopf algebra structure of quantum field theory to derive nonperturbative results for the short-distance singular sector of a renormalizable quantum field theory in a simple but generic example. We discuss renormalized Green functions GR(α, L) in such circumstances which depend