Revising the universality class of the four-dimensional Ising model

DOI10.1016/j.nuclphysb.2023.116256zbMath1529.81113arXiv2209.05292MaRDI QIDQ6173581

Klas Markström, Per Håkan Lundow

Publication date: 21 July 2023

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.05292

zbMATH Keywords

heat capacity

Mathematics Subject Classification ID

Nuclear physics (81V35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Mathematical modeling or simulation for problems pertaining to quantum theory (81-10)

Cites Work

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• Finite size scaling for \(\text{O}(N)\) \(\phi ^{4}\)-theory at the upper critical dimension
• Equivalence and nonequivalence of ensembles: thermodynamic, macrostate, and measure levels
• The discontinuity of the specific heat for the 5D Ising model
• On the critical behavior of the magnetization in high-dimensional Ising models
• Low-temperature expansion in the \(d=4\) Ising model
• A Monte Carlo sampling scheme for the Ising model
• Scaling limits and critical behaviour of the 4-dimensional \(n\)-component \(|\varphi|^4\) spin model
• Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory
• The phase transition in the cluster‐scaled model of a random graph

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