Abstract
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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Lu, P., Qiao, Y., Cao, J. et al. T − W relation and free energy of the Heisenberg chain at a finite temperature. J. High Energ. Phys. 2021, 133 (2021). https://doi.org/10.1007/JHEP07(2021)133
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DOI: https://doi.org/10.1007/JHEP07(2021)133