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首页> 外文期刊>Journal of physics, A. Mathematical and theoretical >Asymptotics of correlation functions of the Heisenberg-Ising chain in the easy-axis regime
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Asymptotics of correlation functions of the Heisenberg-Ising chain in the easy-axis regime

机译：易轴状态下海森堡-伊辛链相关函数的渐近性

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摘要

We analyse the long-time large-distance asymptotics of the longitudinal correlation functions of the Heisenberg-Ising chain in the easy-axis regime. We show that in this regime the leading asymptotics of the dynamical two-point functions is entirely determined by the two-spinon contribution to their form factor expansion. Its explicit form is obtained from a saddle-point analysis of the corresponding double integral. It describes the propagation of a wave front with velocity nu(c1) which is found to be the maximal possible group velocity. Like in wave propagation in dispersive media the wave front is preceded by a precursor running ahead with velocity nu(c2). As a special case we obtain the explicit form of the asymptotics of the auto-correlation function.
机译：我们分析了在易轴状态下海森堡-伊辛链的纵向相关函数的长期远距离渐近性。我们表明，在这种情况下，动态两点函数的主要渐近性完全取决于两轴对它们的形状因子扩展的贡献。它的显式形式是通过对相应双积分的鞍点分析获得的。它描述了波速为nu（c1）的波前传播，该速度为最大可能的群速度。像波在分散介质中的传播一样，波前是先于速度nu（c2）前进的前驱体。作为一种特殊情况，我们获得了自相关函数的渐近性的显式形式。

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