2024/08/26 by Heymans, G. O., Svaiter, N. F., Svaiter, B. F. +1
#Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.2408.14184
We investigate the critical properties of continuous random field Ising model (RFIM). Using the distributional zeta-function method, we obtain a series representation for the quenched free energy. It is possible to show that for each moment of the partition function, the multiplet of k-fields the Gaussian contribution has one field with the contribution of the disorder and (k-1)-fields with the usual propagator. Although the non-gaussian contribution is non-perturbative we are able to show that the model is confined between two ℤ2\timesO(k-1)-symmetric models. Using arguments of lower critical dimension alongside with monotone operators, we show that the phase of the continuous RFIM can be restricted by an ℤ2 × O(k-1) → O(k-2) phase transition.