Abstract

CONTENTS §1. Introduction 1.1. Quantum fields 1.2. The origin of Bogolyubov's renormalization group 1.3. Episode with an `illusory pole' §2. History of the renormalization group in quantum field theory 2.1. Renormalizations and renormalization invariance 2.2. The discovery of the renormalization group 2.3. The origin of the renormalization group method 2.4. Other early applications of the renormalization group §3. Further development of the renormalization group 3.1. Quantum field theory 3.2. Spin lattices 3.3. Turbulence 3.4. Ways of extending the renormalization group 3.5. Two faces of the renormalization group in quantum field theory 3.6. Functional self-similarity Conclusion References

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