2–5 Sept 2025
Dept. of Physics and Astronomy - University of Bologna
Europe/Rome timezone

Sine-Gordon model at finite temperature: the method of random surfaces

3 Sept 2025, 14:00
30m
Aula Magna (Dept. of Physics and Astronomy - University of Bologna)

Aula Magna

Dept. of Physics and Astronomy - University of Bologna

Via Irnerio 46 - 40126 Bologna, Italy
Poster Posters

Speaker

Miklós Tóth

Description

The sine-Gordon theory is a paradigmatic integrable field theory, relevant for the description of many 1D gapped systems. Despite its integrability, calculating finite temperature physical quantities, such as correlation functions, remains a challenge. We generalize the numerical method of random surfaces to compute the free energy, and finite temperature one- and two-point correlation functions of exponential operators non-perturbatively. We demonstrate the method's accuracy by comparing our results to the predictions of other methods and to exact results in the thermodynamic limit, finding excellent agreement when the temperature is not too small with respect to the mass gap.

Authors

David Gyorgy Szasz-Schagrin (Istituto Nazionale di Fisica Nucleare) Prof. Gábor Takács (Department of Theoretical Physics, Budapest Unitersity of Technology and Economics) Miklós Tóth Márton Kormos (Budapest University of Technology and Economics; HUN-REN-BME-BCE Quantum Technology Research Group)

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