Exponential decay of transverse correlations for \(O(N)\) spin systems and related models
From MaRDI portal
Publication:2041659
DOI10.1007/s00440-021-01053-5zbMath1477.60141arXiv2006.06654OpenAlexW3158595016WikidataQ115607492 ScholiaQ115607492MaRDI QIDQ2041659
Publication date: 23 July 2021
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.06654
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Processes in random environments (60K37)
Related Items
Decimations for two-dimensional Ising and rotator models ⋮ Macroscopic loops in the Bose gas, spin \(O(N)\) and related models ⋮ Macroscopic loops in the \(3 d\) double-dimer model ⋮ An elementary proof of phase transition in the planar XY model
Cites Work
- Exponential decay of loop lengths in the loop \(\mathrm{O}(n)\) model with large \(n\)
- On cluster properties of classical ferromagnets in an external magnetic field
- Intersecting loop models on \({\mathbb Z}^ d\): rigorous results.
- Shifted critical threshold in the loop \(O(n)\) model at arbitrarily small \(n\)
- Sharp asymptotics for the truncated two-point function of the Ising model with a positive field
- Interacting self-avoiding polygons
- Site monotonicity and uniform positivity for interacting random walks and the spin \(O(N)\) model with arbitrary \(N\)
- Random currents and continuity of Ising model's spontaneous magnetization
- Loop correlations in random wire models
- Scaling limit of ballistic self-avoiding walk interacting with spatial random permutations
- Some applications of the Lee-Yang theorem
- Theorems on the Partition Functions of the Heisenberg Ferromagnets
- Lectures on the Spin and Loop O(n) Models
- Decay of transverse correlations in quantum Heisenberg models