Short-time existence of the second order renormalization group flow in dimension three

DOI10.3934/dcds.2015.35.5787zbMath1335.53084arXiv1306.1721OpenAlexW2963113621MaRDI QIDQ255566

Carlo Mantegazza, Laura Cremaschi

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.1721

zbMATH Keywords

evolution equationrenormalization groupRicci flowRiemann tensorquasilinear PDE

Mathematics Subject Classification ID

Initial value problems for second-order parabolic systems (35K45)

Related Items

Short-time existence for the second order renormalization group flow in general dimensions ⋮ Soliton metrics for two-loop renormalization group flow on 3D unimodular Lie groups ⋮ The Wasserstein geometry of nonlinear σ models and the Hamilton–Perelman Ricci flow ⋮ Fixed points and steady solitons for the two-loop renormalization group flow ⋮ EVOLUTION AND MONOTONICITY FOR A CLASS OF QUANTITIES ALONG THE RICCI-BOURGUIGNON FLOW ⋮ A geometric introduction to the two-loop renormalization group flow ⋮ Two-loop renormalization group flow for Lorentzian manifolds ⋮ Scaling and entropy for the RG-2 flow

Cites Work

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• Second-order renormalization group flow of three-dimensional homogeneous geometries
• A geometric introduction to the two-loop renormalization group flow
• Renormalization group and the Ricci flow
• Stability of the (two-loop) renormalization group flow for nonlinear sigma models
• Deforming metrics in the direction of their Ricci tensors
• Nonlinear models in \(2+\epsilon\) dimensions
• Renormalization group flow for general \(\sigma\)-models
• Three-manifolds with positive Ricci curvature
• Einstein manifolds
• Short-time existence of solutions to the cross curvature flow on 3-manifolds
• The second-order renormalization group flow for nonlinear sigma models in two dimensions
• Model geometries in the space of Riemannian structures and Hamilton's flow
• A note on quasilinear parabolic equations on manifolds
• Harmonic Mappings of Riemannian Manifolds
• Riemannian geometry.

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