Universal finite size corrections and the central charge in non-solvable Ising models

DOI10.1007/s00220-013-1752-8zbMath1277.82012arXiv1211.3030OpenAlexW2060514041MaRDI QIDQ376577

Vieri Mastropietro, Alessandro Giuliani

Publication date: 5 November 2013

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

Full work available at URL: https://arxiv.org/abs/1211.3030

zbMATH Keywords

conformal field theorypartition functionrenormalization group methodsferromagnetic Ising model

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Renormalization group methods in equilibrium statistical mechanics (82B28) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40)

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Cites Work

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• Discrete complex analysis on isoradial graphs
• Extended scaling relations for planar lattice models
• Infinite conformal symmetry in two-dimensional quantum field theory
• Ising models with four spin interaction at criticality
• Conformal invariance of spin correlations in the planar Ising model
• Universality of conductivity in interacting graphene
• Anomalous universality in the anisotropic Ashkin-Teller model
• The scaling limit of the energy correlations in non-integrable Ising models
• SLE and the free field: Partition functions and couplings
• RENORMALIZATION GROUP, HIDDEN SYMMETRIES AND APPROXIMATE WARD IDENTITIES IN THE XYZ MODEL
• Crystal Statistics. II. Partition Function Evaluated by Spinor Analysis
• Crystal Statistics. III. Short-Range Order in a Binary Ising Lattice
• The Spontaneous Magnetization of a Two-Dimensional Ising Model
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
• Renormalization group for one-dimensional fermions. A review on mathematical results