Dyson equation for the real two-time commutator retarded one-magnon Green function of the ferromagnetically polarized XX chain is suggested following the Plakida-Tserkovnikov algorithm. Starting from this result a low-temperature integral representation for the corresponding magnon self energy is obtained by the truncated form factor expansion however without any resummations. Within the suggested approach the low-temperature asymptotics of the transverse dynamical structure factor may be readily studied. Some obtained line shapes are presented.

中文翻译：

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磁极化 XX 链横向动力学结构因子的低温渐近

根据 Plakida-Tserkovnikov 算法，提出了铁磁极化 XX 链的实际二次换向器延迟单磁子格林函数的戴森方程。从该结果出发，通过截断形状因子展开获得相应磁振子自能的低温积分表示，但没有任何重新求和。在建议的方法中，可以很容易地研究横向动力结构因子的低温渐近性。给出了一些获得的线条形状。