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.

Bose-Einstein condensation, superconducting transition, Higgs mechanism, con nement-decon nement transition (QCD, lattice spin models) 1.3 Critical phenomena • Critical phenomena occur in continuous/2nd order phase transitions • de nition: Critical phenomena: non-analytic properties of systems near a continuous phase transition. • de nition:

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  Mechanisms, Higgs, Higgs mechanism

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