Long-time large-distance asymptotics of the transverse correlation functions of the XX chain in the spacelike regime

DOI10.1007/s11005-020-01276-yzbMath1441.82003arXiv1908.11555OpenAlexW3101933155MaRDI QIDQ2191220

Karol Kajetan Kozlowski, Junji Suzuki, Frank Göhmann

Publication date: 24 June 2020

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

Full work available at URL: https://arxiv.org/abs/1908.11555

zbMATH Keywords

dynamical correlation functions at finite temperature. asymptotics of correlation functionsintegrable quantum spins chains

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (3)

Current operators in integrable models: a review ⋮ 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

Cites Work

• A Fredholm determinant formula for Toeplitz determinants
• On a Toeplitz determinant identity of Borodin and Okounkov
• A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
• Two soluble models of an antiferromagnetic chain
• Thermal form factors of theXXZchain and the large-distance asymptotics of its temperature dependent correlation functions
• Thermal form-factor approach to dynamical correlation functions of integrable lattice models
• Scattering theory and polynomials orthogonal on the unit circle
• High-temperature analysis of the transverse dynamical two-point correlation function of the XX quantum-spin chain
• Long-distance and large-time asymptotic behaviour of dynamic correlation functions in the massless regime of the XXZ spin-1/2 chain

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