1 citations · 1 across the 3 of their papers we have counts for
6 papers
Regularity theory for lattice based harmonic maps and low temperature Gibbs measures of the spin- model
Christophe Garban, Nathan de Montgolfier
The purpose of this note is twofold. First, we revisit the classical regularity theory of harmonic maps in the setting of maps defined on a lattice instead of $\math…
Small perturbations of the classical Heisenberg model
Christophe Garban, Nathan de Montgolfier
Polyakov predicted in 1975 ([Pol75) that the spin -model (or classical Heisenberg model) should have exponential decay of correlations at all positive temperatures on $\mathb…
Energy field of critical Ising model and examples of singular fields in QFT
Christophe Garban, Antti Kupiainen
The goal of this paper is to prove singularity of three natural fields in QFT with respect to their natural base measure. The fields we consider are the following ones: (1) The nea…
Villain action in lattice gauge theory
Ilya Chevyrev, Christophe Garban
We prove that Villain interaction applied to lattice gauge theory can be obtained as the limit of both Wilson and Manton interactions on a larger graph which we call the {\em carpe…
Invisibility of the integers for the discrete Gaussian chain via a Caffarelli-Silvestre extension of the discrete fractional Laplacian
Christophe Garban
The Discrete Gaussian Chain is a model of interfaces governed by the Hamiltonian with long-range c…
Phase transitions for the model in non-uniformly elliptic and Poisson-Voronoi environments
Paul Dario, Christophe Garban
The goal of this paper is to analyze how the celebrated phase transitions of the model are affected by the presence of a non-elliptic quenched disorder. In dimension , we…