High-temperature analysis of the transverse dynamical two-point correlation function of the XX quantum-spin chain

DOI10.1063/1.5111039zbMath1439.82026arXiv1905.04922OpenAlexW3101412056MaRDI QIDQ5218815

Junji Suzuki, Frank Göhmann, Karol Kajetan Kozlowski

Publication date: 5 March 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.04922

zbMATH Keywords

Fredholm determinant representationdynamical correlation functionshigh-temperature analysis of MRH problemhigh-temperature expansion of transverse autocorrelation functionmatrix Riemann-Hilbert (mRH) problemthermal form factor seriestransverse two-point correlation functionXX spin \(1/2\) chainYang-Baxter integrable lattice system

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Quantum field theory on curved space or space-time backgrounds (81T20) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Integral operators (45P05) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (3)

Long-time large-distance asymptotics of the transverse correlation functions of the XX chain in the spacelike regime ⋮ A thermal form factor series for the longitudinal two-point function of the Heisenberg–Ising chain in the antiferromagnetic massive regime ⋮ The two particle–hole pairs contribution to the dynamic correlation functions of quantum integrable models

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