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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.

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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