A classical large N hierarchical vector model in three dimensions: A nonzero fixed point and canonical decay of correlation functions

DOI10.1063/1.532393zbMath1056.82506OpenAlexW1972765967MaRDI QIDQ4661547

Michael O'Carroll, Paulo A. Faria da Veiga, Ricardo S. Schor

Publication date: 30 March 2005

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

Full work available at URL: https://doi.org/10.1063/1.532393

Mathematics Subject Classification ID

Renormalization group methods in equilibrium statistical mechanics (82B28) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• Non-Gaussian fixed points of the block spin transformation. Hierarchical model approximation
• Low temperature properties of the hierarchical classical vector model
• Correlation functions and the Goldstone picture for the hierarchical classical vector model at low temperatures in three or more dimensions
• On the renormalization group transformation for scalar hierarchical models
• On the mass spectrum of the \(2+1\) gauge-Higgs lattice quantum field theory

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