Non-integrable dimers: universal fluctuations of tilted height profiles

DOI10.1007/s00220-020-03760-xzbMath1446.82010arXiv1904.07526OpenAlexW3106447717MaRDI QIDQ779641

Alessandro Giuliani, Fabio Lucio Toninelli, Vieri Mastropietro

Publication date: 14 July 2020

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

Full work available at URL: https://arxiv.org/abs/1904.07526

zbMATH Keywords

critical exponentBethe ansatzsquare latticedimer models

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Renormalization group methods in equilibrium statistical mechanics (82B28) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (13)

Dimer model and holomorphic functions on t‐embeddings of planar graphs ⋮ Weakly nonplanar dimers ⋮ Nonexistence and uniqueness for pure states of ferroelectric six‐vertex models ⋮ Macroscopic behavior of Lipschitz random surfaces ⋮ Irreversible Markov dynamics and hydrodynamics for KPZ states in the stochastic six vertex model ⋮ Scaling limits and universality of Ising and dimer models ⋮ Gaussian fluctuations for the stochastic Burgers equation in dimension \(d \geq 2\) ⋮ Energy correlations of non-integrable Ising models: the scaling limit in the cylinder ⋮ Gentle introduction to rigorous renormalization group: a worked fermionic example ⋮ Anomaly non-renormalization in interacting Weyl semimetals ⋮ Non-integrable dimer models: Universality and scaling relations ⋮ Correlation energy of a weakly interacting Fermi gas ⋮ Non-integrable Ising models in cylindrical geometry: Grassmann representation and infinite volume limit

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