Introduction to Renormalization

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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.

The renormalization group refers to a mathematical procedure that facilitates the system- atic study of the changes of a physical system when viewed at di erent length or energy scales.

  Mathematical