Late-time large-distance asymptotics of the transverse correlation functions of the XX chain in the space-like regime

Abstract

We derive an explicit expression for the leading term in the late-time, large-distance asymptotic expansion of a transverse dynamical two-point function of the XX chain in the spacelike regime. This expression is valid for all non-zero finite temperatures and for all magnetic fields below the saturation threshold. It is obtained here by means of a straightforward term-by-term analysis of a thermal form factor series, derived in previous work, and demonstrates the usefulness of the latter.

13 pages, 2 figures

References in corpus (3)

• Equilibrium dynamics of the XX chain
• 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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• A thermal form factor series for the longitudinal two-point function of the Heisenberg-Ising chain in the antiferromagnetic massive regime
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• The two particle-hole pairs contribution to the dynamic correlation functions of quantum integrable models
• Spin conductivity of the XXZ chain in the antiferromagnetic massive regime
• Exact spectral function of the Tonks-Girardeau gas at finite temperature
• Space-like asymptotics of the thermal two-point functions of the XXZ spin-1/2 chain