Irreversibility of world-sheet renormalization group flow

DOI10.1016/j.physletb.2005.01.077zbMath1247.81310arXivhep-th/0410001OpenAlexW2032459304MaRDI QIDQ451622

Eric Woolgar, Vardarajan Suneeta, Todd Andrew Oliynyk

Publication date: 23 September 2012

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0410001

zbMATH Keywords

Perelman's Ricci flow entropyworld-sheet renormalization group flow

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of differential geometry to physics (53Z05) Renormalization group methods applied to problems in quantum field theory (81T17)

Related Items

Reduction of coupling constants in two-dimensional sigma models ⋮ The long flow to freedom ⋮ Geometric flows and supersymmetry ⋮ The Higgs mechanism and geometrical flows for two-manifolds ⋮ Estimate and monotonicity of the first eigenvalue under the Ricci flow ⋮ First eigenvalues of geometric operators under the Ricci flow ⋮ Entanglement entropy and the Ricci flow ⋮ Stability of the (two-loop) renormalization group flow for nonlinear sigma models

Cites Work

• Ricci solitons on compact three-manifolds
• Can renormalization group flow end in a Big Mess?
• Three-manifolds with positive Ricci curvature
• Partial Differential Equations
• Ricci flows and infinite dimensional algebras