The sine-Gordon model is a paradigmatic integrable field theory which provides the low-energy description of various 1D gapped quantum systems. Due to its integrability, many exact results are available, but its finite temperature thermodynamics and correlation functions can be challenging to calculate. We propose [1] the method of random surfaces (MRS), a numerical approach to compute such physical quantities at finite temperature, and compare it to other analytical and numerical predictions. With the method we are also able to calculate the finite temperature multi-point functions, where such comparisons are no longer possible.

 

[1]: M. Tóth, J. H. Pixley, D. Szász-Schagrin, G. Takács, M. Kormos, arXiv:2408.08828