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Introduction to Renormalization

Introduction to Renormalization with Applications in Condensed-Matter and High-Energy Physics Institute for Theoretical Physics, University of Cologne Lecture course, winter term 2017/2018. Michael M. Scherer January 26, 2021. Contents Contents 1. 1 Introduction 5. Aspects of the Renormalization group .. 6. Phase transitions .. 7. critical phenomena .. 8. Perturbative quantum field theory .. 9. Renormalization -group based definition of QFTs .. 10. QFTs in the high-energy limit .. 11. 2 Phase transitions and critical phenomena 13. Ising model .. 13. Remarks on solutions of the Ising model in d = 1 and d = 2 .. 14. Symmetries of the Ising model .. 15. XY model and Heisenberg model .. 15. Universality and critical exponents .. 16. Scaling hypothesis for the free energy .. 17. Derivation of power laws from scaling hypothesis.

M.E. Peskin and D.V. Schroeder, An Introduction to Quantum Field Theory, Addison-Wesley. The introductory QFT textbook for particle physicists. After a canonical introduction to relativistic QFT in part I, the second part deals with functional integrals. Also contains a pretty nice chapter on critical phenomena which provides a complementary point

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