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

Large-scale fluctuations in the sine-Gordon field theory

2 Sept 2025, 16:20
25m
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
Talk (25 min) Talks

Speaker

Márton Kormos (Budapest University of Technology and Economics; HUN-REN-BME-BCE Quantum Technology Research Group)

Description

We investigate large-scale fluctuations of conserved quantities and their associated currents in the sine-Gordon field theory. Our approach is based on the framework of Generalized Hydrodynamics, which has only recently become fully applicable across all regimes of the model. By combining this with Ballistic Fluctuation Theory, we analyse the distribution of conserved charges and the full counting statistics of currents. We derive analytical results in both the low- and high-temperature limits. Notably, we find that the cumulants of the topological charge distribution exhibit a fractal-like dependence on the coupling constant, mirroring the behaviour observed in the Drude weight of the topological charge.

Authors

Botond Nagy (Budapest University of Technology and Economics) Prof. Gábor Takács (Department of Theoretical Physics, Budapest Unitersity of Technology and Economics) Márton Kormos (Budapest University of Technology and Economics; HUN-REN-BME-BCE Quantum Technology Research Group)

Presentation materials