Full counting statistics in the sine--Gordon model
Statistical Mechanics
2026-01-09 v1
Abstract
Full counting statistics (FCS) is a dynamical generalisation of the free energy, encapsulating detailed information about the distribution and large-scale correlation functions of conserved charges and their associated currents. In this work, we present a comprehensive numerical study of the FCS and the cumulants of the three lowest charges across the full parameter space of the sine--Gordon field theory. To this end, we extend the thermodynamic Bethe Ansatz (TBA) formulation of the FCS to the sine--Gordon model, emphasise the methodological subtleties for a reliable numerical implementation, and compare numerical results with analytical predictions in certain limits.
Cite
@article{arxiv.2601.05079,
title = {Full counting statistics in the sine--Gordon model},
author = {Botond C. Nagy and Marton Kormos and Gabor Takacs},
journal= {arXiv preprint arXiv:2601.05079},
year = {2026}
}