The second-order renormalization group flow for nonlinear sigma models in two dimensions

DOI10.1088/0264-9381/26/10/105020zbMath1166.83302arXiv0904.1241OpenAlexW3102851979MaRDI QIDQ3631350

Todd Andrew Oliynyk

Publication date: 9 June 2009

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.1241

Mathematics Subject Classification ID

Geometrodynamics and the holographic principle (83E05) Renormalization group methods applied to problems in quantum field theory (81T17) Methods of quantum field theory in general relativity and gravitational theory (83C47) Analogues of general relativity in lower dimensions (83C80) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (12)

Bounds for the first eigenvalue of \((-\varDelta -R)\) under the Ricci flow on Bianchi classes ⋮ Short-time existence for the second order renormalization group flow in general dimensions ⋮ The cigar soliton and the Ricci flows perturbation solutions in the two-dimensional string \(\sigma\) model ⋮ The Heterotic-Ricci flow and its three-dimensional solitons ⋮ The quantum non-linear \(\sigma\)-model RG flow and integrability in wormhole geometries ⋮ Evolution of the Robertson–Walker metric under 2-loop renormalization group flow ⋮ A geometric introduction to the two-loop renormalization group flow ⋮ RG-2 flow and black hole entanglement entropy ⋮ Two-loop renormalization group flow for Lorentzian manifolds ⋮ RG-2 flow, mass and entropy ⋮ Scaling and entropy for the RG-2 flow ⋮ Short-time existence of the second order renormalization group flow in dimension three

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