A geometric introduction to the two-loop renormalization group flow

DOI10.1007/s11784-014-0162-7zbMath1304.35002arXiv1312.6049OpenAlexW2056636747MaRDI QIDQ480900

Karsten Gimre, Christine Guenther, James A. Isenberg

Publication date: 12 December 2014

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.6049

zbMATH Keywords

second-order approximationgeometric flowsconstant curvature solutionsRG-2 flowshort-time existence and uniquenessWitten's black hole

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Applications of global analysis to the sciences (58Z05) Renormalization group methods applied to problems in quantum field theory (81T17) Applications of global differential geometry to the sciences (53C80) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

Related Items

Four-Dimensional Homogeneous Generalizations of Einstein Metrics ⋮ On algebraic solitons for geometric evolution equations on three-dimensional Lie groups ⋮ 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 ⋮ Fixed points and steady solitons for the two-loop renormalization group flow ⋮ The Heterotic-Ricci flow and its three-dimensional solitons ⋮ Structure of locally conformally flat manifolds satisfying some weakly-Einstein conditions ⋮ The quantum non-linear \(\sigma\)-model RG flow and integrability in wormhole geometries ⋮ A geometric introduction to the two-loop renormalization group flow ⋮ Caristi-type fixed point theorems and some generalizations on \(M\)-metric space ⋮ Some Caristi-type fixed point theorems ⋮ Two-loop renormalization group flow for Lorentzian manifolds ⋮ Fixed point theorems for generalized almost contractions in partial metric spaces ⋮ 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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