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Renormalization group flow for general \(\sigma\)-models

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Publication:1082682
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DOI10.1007/BF01206956zbMath0603.58034MaRDI QIDQ1082682

John Lott

Publication date: 1986

Published in: Communications in Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

renormalization group flow


Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Quantum field theory; related classical field theories (81T99) Applications of dynamical systems (37N99)


Related Items (4)

Structure of the space of ground states in systems with non-amenable symmetries ⋮ RG-2 flow, mass and entropy ⋮ Stability of the (two-loop) renormalization group flow for nonlinear sigma models ⋮ Short-time existence of the second order renormalization group flow in dimension three



Cites Work

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  • Nonlinear models in \(2+\epsilon\) dimensions
  • Finiteness of Ricci flat supersymmetric nonlinear \(\sigma\)-models
  • Three-manifolds with positive Ricci curvature
  • Some decompositions of the space of symmetric tensors on a Riemannian manifolds
  • Translation-invariant cones of functions on semi-simple lie groups


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