T − W relation and free energy of the Heisenberg chain at a finite temperature

被引：0
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作者：
Pengcheng Lu
Yi Qiao
Junpeng Cao
Wen-Li Yang
Kang jie Shi
Yupeng Wang
机构：
[1] Northwest University,Institute of Modern Physics
[2] Chinese Academy of Sciences,Beijing National Laboratory for Condensed Matter Physics, Institute of Physics
[3] University of Chinese Academy of Sciences,School of Physical Sciences
[4] Songshan Lake Materials Laboratory,undefined
[5] Peng Huanwu Center for Fundamental Theory,undefined
[6] Shaanxi Key Laboratory for Theoretical Physics Frontiers,undefined
[7] The Yangtze River Delta Physics Research Center,undefined
来源：
Journal of High Energy Physics | / 2021卷
关键词：
Bethe Ansatz; Lattice Integrable Models;
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摘要：
A new nonlinear integral equation (NLIE) describing the thermodynamics of the Heisenberg spin chain is derived based on the t − W relation of the quantum transfer matrices. The free energy of the system in a magnetic field is thus obtained by solving the NLIE. This method can be generalized to other lattice quantum integrable models. Taking the SU(3)-invariant quantum spin chain as an example, we construct the corre- sponding NLIEs and compute the free energy. The present results coincide exactly with those obtained via other methods previously.
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