Finite temperature corrections in 2d integrable models

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, LaTex, no figures, v2: references added, to appear in Nucl. Phys. B

Scientific paper

We study the finite size corrections for the magnetization and the internal energy of the 2d Ising model in a magnetic field by using transfer matrix techniques. We compare these corrections with the functional form recently proposed by Delfino and LeClair-Mussardo for the finite temperature behaviour of one-point functions in integrable 2d quantum field theories. We find a perfect agreement between theoretical expectations and numerical results. Assuming the proposed functional form as an input in our analysis we obtain a relevant improvement in the precision of the continuum limit estimates of both quantities.

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