Critical probability distributions of the order parameter at two loops: II. O ( n ) universality class
Abstract
Abstract We show how to compute the probability distributions of the order parameter of the O ( n ) model at two-loop order of perturbation theory generalizing the methods developed for computing the same in case of the Ising model (Sahu 2025 J. Stat. Mech. 2025 123202). We show that even for the O ( n ) model, there exists not one but a family of these probability distribution functions (PDFs) indexed by ζ which is the ratio of system size L to the bulk correlation length ξ ∞ . We also compare these PDFs to the Monte-Carlo simulations and the existing FRG results (Rançon et al 2025 arXiv:2501.04465 [cond-mat.statmech]) for the O (2) and O (3) models.
Fields of Study & Subjects
Bayesian Methods and Mixture Models
Statistical Distribution Estimation and Applications
Advanced Statistical Methods and Models
Publication details
- Journal / source
- Journal of Statistical Mechanics Theory and Experiment
- Publisher
- IOP Publishing
- Volume
- 2026
- Issue
- 2
- Pages
- 023208–023208
- Publication date
- 1 February 2026
- Language
- EN