Exact Results for Thermodynamics of the Classical Field Theories: Sine- and Sinh-Gordon Models
Emiliano Papa, Alexei M. Tsvelik
Abstract
Using the recently obtained exact results for the expectation values of operators in the sine- and sinh-Gordon models [A. B. Zamolodchikov and S. Lukyanov, Nucl. Phys. B 493, 571 (1997), V. Fateev, S. Lukyanov, A. B. Zamolodchikov and Al. B. Zamolodchikov, Phys. Lett. B 406, 83 (1997)] we calculate the specific heat of the corresponding two dimensional Euclidean (classical) models. We show that the temperature dependence of the specific heat of the sine-Gordon model, in the commensurate phase, has a maximum well below the Kosterlitz-Thouless transition and that the sinh-Gordon model is thermodynamically unstable in the strong coupling regime. We give also the temperature dependence of the specific heat in the incommensurate phase of the sine-Gordon model.
Create a lesson
Related papers
Stability of energy gap of macroscopic quantum matter
Kangle Li, Liujun Zou
Field evolution of the multi-k magnetic states in NdB4 revealed by neutron diffraction
D. Brunt, N. Qureshi, E. Chan et al.
Interplay between Spin Stripes and Pairing Crossover in the Bilayer Hubbard Model
Zixuan Jia, Xuelei Sui, Shijie Hu et al.
Ni ordering in the van der Waals gap of Ni-intercalated 2H-NbS2: from disorder through 2×2 and 3×3 order to stripe order
Naveen Singh Dhami, Ricardo Guillermo Torres Ramirez, Gaurav Pransu et al.
Resonantly interacting 2e/3 anyons: a controlled microscopic theory of anyon superconductivity
Qingchen Li, Pavel A. Nosov, Zhaoyu Han et al.
Evidence for a Dirac Spin Liquid in the Kagome Heisenberg Antiferromagnet from High-Precision Neural-Network Quantum States
Zheng-Hang Sun, Christopher Roth, Ao Chen et al.