Introduction to the Renormalization group. Auteur(s): Mitter P.
Conférence invité: Scaling limits, rough paths, quantum field theory (Cambridge, GB, 2018-09-03) Ref HAL: hal-01935444_v2 Exporter : BibTex | endNote Résumé: In these lectures I will introduce and explore properties of the Renormalisation Group (RG) both in its discrete and continuous forms. Topics to be discussed include multi scale expansions, the RG, Gaussian fixed points, Wick products from the RG point of view, ultraviolet cutoff removal, flow equations and perturbative flows, trivial and non-trivial fixed points, and critical field theories. Rigorous Discrete RG analysis. I will discuss a rigorous application for a non-trivial fixed point. |