Finite temperature corrections in 2d integrable models

Abstract

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.

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

References in corpus (4)

• On the Finite Temperature Formalism in Integrable Quantum Field Theories
• The critical equation of state of the 2D Ising model
• One-point functions in integrable quantum field theory at finite temperature
• Correction induced by irrelevant operators in the correlators of the 2d Ising model in a magnetic field

Cited by in corpus (4)

• Integrable field theory and critical phenomena. The Ising model in a magnetic field
• Amplitude ratios for the mass spectrum of the 2d Ising model in the high-T, H \neq 0 phase
• On the magnetic perturbation of the Ising model on the sphere
• Finite temperature results on the 2d Ising model with mixed perturbation