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⇒ Introduction to the functional renormalisation group and selected applications
Introduction to the functional renormalisation group and selected applications
Lectures starting at 28th of April : Monday 11:15-13:00 , SR 106 Pw 12 [HeiCO]
Tutorial/Seminar starting at 28th of April : Monday 16:15-18:00, R 106 Pw 12 [HeiCO]
Prerequisites: Theoretical Physics I-IV, QFT, basic knowledge of renormalisation
Content of lecture series
The lecture course provides an introduction to the functional renormalisation group. The applications deal with modern conceptual
developments and their applications to emergent phenomena. Examples are the formation of bound states and condensation phenomena.
The second half of the lecture course will include inverted class room elements and seminar talks.
- The Functional RG
- Euclidean QFT
- Functional Renormalisation Group
- Critical Phenomena & Fixed Points
- Selected applications
- Generalised renormalisation group equations and reparameterisations
- Emergent composites: bound states and condensation phenomena
- Physics-informed renormalisation group flows
- The essential renormalisation group
- Machine Learning and the renormalisation group
- Comprehensive review on the fRG
- Introductory reviews on the fRG
- Textbooks on the renormalisation group and critical phenomena
- Outline
Literature
Dupuis, Canet, Eichhorn, Metzner, Pawlowski, Tissier, Wschebor | The nonperturbative functional renormalization group and its applications | Phys.Rept. 910 (2021) 1-114 |
Aoki | Introduction to the Non-perturbative RG | Int.J.Mod.Phys.B14:1249-1326,2000 | |
Berges, Tetradis, Wetterich | Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics | Phys.Rept.363:223-386,2002 | |
Polonyi | Lectures on the functional renormalization group method | Central Eur.J.Phys.1:1-71,2003 | |
Delamotte | An Introduction to the Nonperturbative Renormalization Group | Condensed Matter Phys. 8 (2005) 163-179 |
Literature
Amit | Field Theory, the Renormalization Group, and Critical Phenomena | World Scientific | |
Binney, Dowrick, Fisher, Newman | The Theory of Critical Phenomena, an Introduction to the Renormalization Group | Clarendon Press, Oxford | |
Cardy | Scaling and Renormalization in Statistical Physics | Cambridge University Press | |
Collins | Renormalization | Springer | |
Parisi | Statistical Field Theory | Addison-Wesley | |
Zinn-Justin | Quantum Field Theory and Critical Phenomena | Claredon Press, Oxford |