Research profile

Paolo Rinaldi

Works on physics and Ricci flow.

NP-RC-7436030000-0003-1578-2677

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PhysicsRicci flow

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Frequent co-authors of Paolo Rinaldi Paolo Rinaldi in the centre and 3 co-authors around them, closer for more joint papers on this site. Rinaldi Claudio Dappiaggi: 1 joint workCDDappiaggi Mauro Carfora: 1 joint workMCCarfora Nicolò Drago: 1 joint workNDDrago
Closer to the centre: more joint work here. have also written together
  1. Claudio Dappiaggi

    1 joint worklatest 2018

  2. Mauro Carfora

    1 joint worklatest 2018

  3. Nicolò Drago

    1 joint worklatest 2018

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Papers

Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2018

math-phv2arXiv:1809.07652

Ricci Flow from the Renormalization of Nonlinear Sigma Models in the Framework of Euclidean Algebraic Quantum Field Theory

Mauro Carfora, Claudio Dappiaggi, Nicolò Drago, Paolo Rinaldi

The perturbative approach to nonlinear Sigma models and the associated renormalization group flow are discussed within the framework of Euclidean algebraic quantum field theory and of the principle of general local covariance. In particular we show in an Euclidean setting 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.

Ricci flowPhysics
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