Study of the 2d Ising model with mixed perturbation

2002/08/31 by P. Grinza, Paolo Grinza, Antonio Rago +1 · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.1016/s0550-3213(02)01090-8

published as Nucl.Phys.B651:387-412,2003 · Revised version, typos corrected, reference added. LaTeX 27 pages

arxiv created 2002/12/05 · openalex publication_date 2003/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Critical amplitudes and mass spectrum of the 2d Ising model in a magnetic field
• Infinite conformal symmetry in two-dimensional quantum field theory
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

Cited by

• Characterization of resonances using finite size effects
• Inelastic scattering and elastic amplitude in Ising field theory in a weak magnetic field at T>Tc. Perturbative analysis