A CLT for the total energy of the two-dimensional critical Ising model

zbMath1451.82010arXiv1908.06704MaRDI QIDQ5126323

Jian-Ping Jiang

Publication date: 16 October 2020

Full work available at URL: https://arxiv.org/abs/1908.06704

zbMATH Keywords

total energycentral limit theoremIsing modelcritical

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)

Cites Work

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• The energy density in the planar Ising model
• Scaling limit of the energy variable for the two-dimensional Ising ferromagnet
• On limit theorems for the bivariate (magnetization, energy) variable at the critical point
• Planar Ising magnetization field. I: Uniqueness of the critical scaling limit
• The magnetization-energy scaling limit in high dimension
• CONFORMAL INVARIANCE OF ISING MODEL CORRELATIONS

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