München 2019 – scientific programme
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 3: Quantenfeldtheorie
MP 3.1: Invited Talk
Monday, March 18, 2019, 17:30–18:10, HS 23
Ricci Flow from the Renormalization of Nonlinear Sigma Models in Euclidean Algebraic Quantum Field Theory — •Claudio Dappiaggi1,2,3, Mauro Carfora1,2,3, Nicolò Drago1,2,3, and Paolo Rinaldi1 — 1University of Pavia, Pavia, Italy — 2INFN, Sezione di Pavia, Pavia, Italy — 3INDAM, Sezione di Pavia, Pavia, Italy
We discuss the perturbative approach to nonlinear Sigma models and the associated renormalization group flow within the framework of Euclidean algebraic quantum field theory and of the principle of general local covariance. In particular we show how to define Wick ordered powers of the underlying quantum fields and we classify the freedom in such procedure by extending to this setting a recent construction of Khavkine, Melati and Moretti for vector valued free fields. As a by-product of such classification, we prove that, at first order in perturbation theory, the renormalization group flow of the nonlinear Sigma model is the Ricci flow.