57 citations · 120 across the 13 of their papers we have counts for
5 papers · 1 filter
Constraint correlation functions of the one-dimensional Ising model in the scaling limit
Ivan Balog, Adam Rançon
We study the correlation function of the one-dimensional Ising model at fixed magnetization. Focusing on the scaling limit close to the zero-temperature fixed point, we show that t…
Constraint effective action and critical correlation functions at fixed magnetization
Félix Rose, Adam Rançon, Ivan Balog
We present an extension of the functional renormalization group (FRG) framework developed to compute critical probability distributions of the order parameter to momentum-dependent…
Dreaming up scale invariance via inverse renormalization group
Adam Rançon, Ulysse Rançon, Tomislav Ivek +1
We explore how minimal neural networks can invert the renormalization group (RG) coarse-graining procedure in the two-dimensional Ising model, effectively ``dreaming up'' microscop…
Generalization of the Central Limit Theorem to Critical Systems: Revisiting Perturbation Theory
Sankarshan Sahu, Bertrand Delamotte, Adam Rançon
The Central Limit Theorem does not hold for strongly correlated stochastic variables, as is the case for statistical systems close to criticality. Recently, the calculation of the…
On the effective action in presence of local non-linear constraints
Adam Rançon, Ivan Balog
The conditions for the existence of the effective action in statistical field theory, the Legendre transform of the cumulant generating function, in presence of non-linear local co…