Study of the 2d Ising Model with mixed perturbation

Abstract

We study the thermodynamical observables of the 2d Ising model in the neighborhood of the magnetic axis by means of numerical diagonalization of the transfer matrix. In particular, we estimate the leading order corrections to the Zamolodchikov mass spectrum and find evidence of non-vanishing contributions due to the stress-energy tensor.

Revised version, typos corrected, reference added. LaTeX 27 pages

References in corpus (5)

• The susceptibility of the square lattice Ising model: New developments
• Irrelevant operators in the two-dimensional Ising model
• Ising field theory in a magnetic field: analytic properties of the free energy
• The critical equation of state of the 2D Ising model
• Correction induced by irrelevant operators in the correlators of the 2d Ising model in a magnetic field

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• Tethered Monte Carlo: computing the effective potential without critical slowing down
• Monte Carlo Determination of Multiple Extremal Eigenpairs
• Inelastic scattering and elastic amplitude in Ising field theory in a weak magnetic field at T>T_c. Perturbative analysis
• 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