Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:hep-th/9909065 · Nuclear Physics B

Short distance behaviour of correlators in the 2d Ising model in a magnetic field

Michele Caselle, P. Grinza, N. Magnoli

Published Jul 1, 2000• 23 citations
arXivHTMLPDF
DOI
10.1016/s0550-3213(00)00161-9

Related papers

Dynamics of 2D Ising Model in linearly varying magnetic field

Na Xu, Cheng‐Wei Liu, Anatoli Polkovnikov +1 more

Bulletin of the American Physical Society•Mar 4, 2014•0 citations

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

Michele Caselle, M. Hasenbusch

arXiv:hep-th/9911216•Nuclear Physics B•Jul 1, 2000•41 citations

Short distance behaviour of correlators in the 2D Ising model in a magnetic field

Caselle, M, Grinza, P, Magnoli, N

We study the spin-spin, spin-energy and energy-energy correlators in the 2d Ising model perturbed by a magnetic field. We compare the results of a set of high precision Montecarlo simulations with the predictions of two different approximations: the Form Factor approach, based on the exact S-matrix description of the model, and a short distance perturbative expansion around the conformal point. Both methods give very good results, the first one performs better for distances larger than the correlation length, while the second one is more precise for distances smaller than the correlation length. In order to improve this agreement we extend the perturbative analysis to the second order in the derivatives of the OPE constants.

•Sep 13, 1999•13 citations

Correlation functions in the two-dimensional Ising model in a magnetic field at T = Tc

Gesualdo Delfino A, P. Simonetti

arXiv:hep-th/9605065•Physics Letters B•Sep 1, 1996•67 citations

A numerical test of the conjectured exact S-matrix of the 2D Ising model in a magnetic field

Malte Henkel

The finite-size scaling functions of the correlation lengths in the 2D Ising model in a magnetic field are calculated numerically. The asymptotic behaviour in the limit of large scaling variables is studied and can be used to estimate the particle masses and coupling constants of the underlying effective field theory. The results are consistent with the conjectured minimal S-matrix obtained from the conformal bootstrap.

Journal of Physics A Mathematical and General•Feb 7, 1991•11 citations

Computation of correlation functions of the two dimensional Ising model

Bülent Kutlu, Nevzat AKTEKİN

Physica A Statistical Mechanics and its Applications•May 1, 1995•12 citations
We study the spin-spin, spin-energy and energy-energy correlators in the 2d Ising model perturbed by a magnetic field. We compare the results of a set of high precision Montecarlo simulations with the predictions of two different approximations: the Form Factor approach, based on the exact S-matrix description of the model, and a short distance perturbative expansion around the conformal point. Both methods give very good results, the first one performs better for distances larger than the correlation length, while the second one is more precise for distances smaller than the correlation length. In order to improve this agreement we extend the perturbative analysis to the second order in the derivatives of the OPE constants.