Cover Image

The Spherical model and the large-$N$ limit of the Spin $O(N)$ model via the Gaussian free field

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Aru, Juhan, Korzhenkova, Aleksandra
Format:	Preprint
Published:	2024
Subjects:	Probability Mathematical Physics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Renormalised two-point functions of CLE$_4$ gaskets
by: Aru, Juhan, et al.
Published: (2026)

Irregular SLE(4) martingales and isomonodromic deformations
by: Desiraju, Harini, et al.
Published: (2026)

SLE and its partition function in multiply connected domains via the Gaussian Free Field and restriction measures
by: Aru, Juhan, et al.
Published: (2024)

The exploration process of critical Boltzmann planar maps decorated by a triangular $O(n)$ loop model
by: Korzhenkova, Aleksandra
Published: (2021)

Large $N$ limit of the Langevin dynamics for the spin $O(N)$ model
by: Ye, Wenjie, et al.
Published: (2025)

A martingale-type characterisation of the Gaussian free field and fractional Gaussian free fields
by: Aru, Juhan, et al.
Published: (2024)

A few observations around Gaussian domination and continuous symmetry breaking for spin O(N) model
by: Han, Xiao
Published: (2025)

Mass generation for the two dimensional O(N) Linear Sigma Model in the large N limit
by: Delgadino, Matías G., et al.
Published: (2026)

Griffiths inequalities for the $O(N)$-spin model
by: Lees, Benjamin
Published: (2022)

The Ising magnetisation field and the Gaussian free field
by: López, Tomás Alcalde, et al.
Published: (2026)

A characterisation of the continuum Gaussian free field in $d \geq 2$ dimensions
by: Aru, Juhan, et al.
Published: (2021)

Free Energy Universality of Spherical Spin Glasses
by: Sawhney, Mehtaab, et al.
Published: (2024)

Gaussian free field and Liouville quantum gravity
by: Berestycki, Nathanaël, et al.
Published: (2024)

The rate of convergence of the critical mean-field O(N) magnetization via multivariate nonnormal Stein's method
by: Garoni, Timothy M., et al.
Published: (2025)

Noise-like analytic properties of imaginary chaos
by: Aru, Juhan, et al.
Published: (2024)

A switching identity for cable-graph loop soups and Gaussian free fields
by: Werner, Wendelin
Published: (2025)

Small deviations of Gaussian multiplicative chaos and the free energy of the two-dimensional massless Sinh--Gordon model
by: Barashkov, Nikolay, et al.
Published: (2024)

Interface scaling limit for the critical planar Ising model perturbed by a magnetic field
by: Papon, Léonie
Published: (2024)

Coupling of radial multiple SLE with Gaussian free field, and the hydrodynamic limit
by: Katori, Makoto, et al.
Published: (2025)

Sharp estimates for large N Weingarten functions
by: Nissim, Ron
Published: (2025)

The ant on loops: Alexander-Orbach conjecture for the critical level set of the Gaussian free field
by: Ganguly, Shirshendu, et al.
Published: (2024)

A short proof of free energy limit of two spin spherical Sherrington-Kirkpatrick model at any temperature
by: Banerjee, Debapratim
Published: (2025)

Heavy-Tailed Mixed p-Spin Spherical Model: Breakdown of Ultrametricity and Failure of the Parisi Formula
by: Kim, Taegyun
Published: (2025)

Density of imaginary multiplicative chaos via Malliavin calculus
by: Aru, Juhan, et al.
Published: (2020)

Low temperature asymptotic expansion for classical $O(N)$ vector models
by: Giuliani, Alessandro, et al.
Published: (2023)

The Product of $m$ real $N\times N$ Ginibre matrices: Real eigenvalues in the critical regime $m=O(N)$
by: Akemann, Gernot, et al.
Published: (2022)

Conformal field theory of Gaussian free fields in a multiply connected domain
by: Alberts, Tom, et al.
Published: (2024)

Relaxation time and topology in 1D $O(N)$ models
by: Caputo, Pietro, et al.
Published: (2024)

Large N limit of Yang-Mills partition function and Wilson loops on compact surfaces
by: Dahlqvist, Antoine, et al.
Published: (2022)

Fluctuations in random field Ising models
by: Lee, Seunghyun, et al.
Published: (2025)

Gaussian free field convergence of the six-vertex model with $-1\leqΔ\leq-\frac12$
by: Duminil-Copin, Hugo, et al.
Published: (2026)

Shattering in Pure Spherical Spin Glasses
by: Alaoui, Ahmed El, et al.
Published: (2023)

Energy field of critical Ising model and examples of singular fields in QFT
by: Garban, Christophe, et al.
Published: (2025)

Scaling limit of the colored ASEP and stochastic six-vertex models
by: Aggarwal, Amol, et al.
Published: (2024)

The fuzzy Potts model in the plane: Scaling limits and arm exponents
by: Köhler-Schindler, Laurin, et al.
Published: (2022)

Hyperbolic $O (N)$ linear sigma model and its mean-field limit
by: Liu, Ruoyuan, et al.
Published: (2025)

Surface sums for lattice Yang-Mills in the large-$N$ limit
by: Borga, Jacopo, et al.
Published: (2024)

Dynamical random field Ising model at zero temperature
by: Ding, Jian, et al.
Published: (2024)

Brownian bridge limit of path measures in the upper tail of KPZ models
by: Ganguly, Shirshendu, et al.
Published: (2023)

Macroscopic limit of a Fokker-Planck model of swarming rigid bodies
by: Degond, Pierre, et al.
Published: (2023)