Extended Scaling Relations for Planar Lattice Models

2008/11/19 by G. Benfatto, P. Falco, V. Mastropietro · 30 citations
Materials Science · Mathematics · Physics and Astronomy · #Complex system #Lattice (music) #Physics of Superconductivity and Magnetism #Planar #Quasicrystal Structures and Properties #Scaling #Scaling law #Theoretical and Computational Physics #Vertex (graph theory) #cond-mat.stat-mech #math-ph #math.MP

paper · pdf · doi:10.1007/s00220-009-0888-z

published in Communications in Mathematical Physics 292(2), 569-605 (Springer Science+Business Media) · 32 pages, 7 fig

arxiv created 2008/11/19 · openalex publication_date 2009/08/13 · arxiv updated 2015/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

It is widely believed that the critical properties of several planar lattice models, like the Eight Vertex or the Ashkin-Teller models, are well described by an effective Quantum Field Theory obtained as formal scaling limit. On the basis of this assumption several extended scaling relations among their indices were conjectured. We prove the validity of some of them, among which the ones by Kadanoff, [K], and by Luther and Peschel, [LP].

Citations

• On the Density-Density Critical Indices�in Interacting Fermi Systems
• Ising Models with Four Spin Interaction at Criticality
• Ward Identities and Chiral Anomaly in the Luttinger Liquid

Cited by

• Universality Relations in Non-solvable Quantum Spin Chains
• Drude Weight in Non Solvable Quantum Spin Chains
• Canonical Drude Weight for Non-integrable Quantum Spin Chains
• Non-trivial Fixed Point of a ψ d 4 Fermionic Theory, II: Anomalous Exponent and Scaling Operators. [europepmc]

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