{ "id": "cond-mat/9706048", "version": "v1", "published": "1997-06-06T01:06:19.000Z", "updated": "1997-06-06T01:06:19.000Z", "title": "Magnetic Correlation Length and Universal Amplitude of the Lattice E_8 Ising Model", "authors": [ "M. T. Batchelor", "K. A. Seaton" ], "comment": "7 pages, Latex", "journal": "J.Phys. A30 (1997) L479", "doi": "10.1088/0305-4470/30/15/001", "categories": [ "cond-mat.stat-mech", "hep-th" ], "abstract": "The perturbation approach is used to derive the exact correlation length $\\xi$ of the dilute A_L lattice models in regimes 1 and 2 for L odd. In regime 2 the A_3 model is the E_8 lattice realisation of the two-dimensional Ising model in a magnetic field h at T=T_c. When combined with the singular part f_s of the free energy the result for the A_3 model gives the universal amplitude $f_s \\xi^2 = 0.061~728...$ as $h\\to 0$ in precise agreement with the result obtained by Delfino and Mussardo via the form-factor bootstrap approach.", "revisions": [ { "version": "v1", "updated": "1997-06-06T01:06:19.000Z" } ], "analyses": { "keywords": [ "magnetic correlation length", "universal amplitude", "ising model", "form-factor bootstrap approach", "exact correlation length" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Physics A Mathematical General", "year": 1997, "month": "Aug", "volume": 30, "number": 15 }, "note": { "typesetting": "LaTeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "inspire": 459546, "adsabs": "1997JPhA...30L.479B" } } }