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arXiv · 2604.12585

Finite temperature correlation functions of the sine--Gordon model

M. Tóth·J. H. Pixley·G. Takács·M. Kormos
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Abstract

The sine-Gordon model serves as a foundational $1+1$-dimensional quantum field theory with numerous applications in condensed matter physics. Despite its integrability, characterizing its finite-temperature behavior remains a significant theoretical challenge. Here we use the previously developed Method of Random Surfaces (MRS) to evaluate two-point and higher-order correlation functions. We cross-check these results with known analytical limits, demonstrating that the MRS provides reliable, non-perturbative data in intermediate regimes where traditional form-factor expansions and semiclassical methods are inapplicable. Furthermore, we derive an exact result for arbitrary $N$-point functions satisfying an appropriate selection rule, providing a direct computational method for complex multi-point observables at finite temperature. We also characterize the non-Gaussianity of correlations and demonstrate that the results align with intuitive theoretical expectations.

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M. Tóth, J. H. Pixley, G. Takács, M. Kormos. 2026-04-14. Finite temperature correlation functions of the sine--Gordon model. https://arxiv.org/abs/2604.12585

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