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arXiv:hep-th/9911216 · Nuclear Physics B

Critical amplitudes and mass spectrum of the 2d Ising model in a magnetic field

Michele Caselle, M. Hasenbusch

Published Jul 1, 2000• 41 citations
arXivHTMLPDF
DOI
10.1016/s0550-3213(00)00074-2

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The critical Ising model perturbed by the spin field (conjugated to the magnetic field) is studied numerically by the method of truncated fermionic space of states. The matrix elements of the perturbed Hamiltonian are found between the states of free Majorana fermions living on a finite-length circle. The Hamiltonian spectrum is studied numerically in the level-5 truncated space. Reasonable estimations are obtained for the vacuum energy, a part of the mass spectrum and the simplest scattering amplitude of the perturbed system.