On the renormalization group transformation for scalar hierarchical models

DOI10.1007/BF02102041zbMath0735.47046MaRDI QIDQ1814273

Peter Wittwer, Hans Koch

Publication date: 25 June 1992

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

zbMATH Keywords

asymptotic behaviorbeta-functionconnection between the hierarchical models of Dyson and Gallavottiexistence of a non-Gaussian hierarchical renormalization group fixed point

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50)

Related Items (7)

Affine systems: asymptotics at infinity for fractal measures ⋮ A nontrivial renormalization group fixed point for the Dyson-Baker hierarchical model ⋮ The hierarchical \({\Phi}^4\)-trajectory by pertubation theory in a running coupling and its logarithm ⋮ Renormalization group and divergences ⋮ A classical large N hierarchical vector model in three dimensions: A nonzero fixed point and canonical decay of correlation functions ⋮ Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory ⋮ Unitary representations of wavelet groups and encoding of iterated function systems in solenoids

Cites Work

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• A non-Gaussian renormalization group fixed point for hierarchical scalar lattice field theories
• Existence of a phase-transition in a one-dimensional Ising ferromagnet
• Invariant manifolds

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