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The European Physical Journal B
ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)
Abstract Volume 5 Issue 3 (1998) pp 719-725
Excitations in the dilute $\sf A_L$ lattice model: $\sf E_6$, $\sf E_7$ and $\sf E_8$ mass spectra
M.T. Batchelor (1) (a), K.A. Seaton (2)
(1) Department of Mathematics, School of Mathematical Sciences, Australian National University, Canberra ACT 0200, Australia
(2) School of Mathematics, La Trobe University, Bundoora VIC 3083, Australia
Received: 17 February 1998 / Accepted: 30 April 1998
Abstract: On the basis of features observed in the exact perturbation approach solution for the eigenspectrum of the dilute A3 model, we propose expressions for excitations in the dilute A4 and A6 models. Principally, we require that these expressions satisfy the appropriate inversion relations. We demonstrate that they give the expected E7 and E6 mass spectra, and universal amplitudes, and agree with numerical expressions for the eigenvalues.
PACS. 05.70.Jk Critical point phenomena - 64.60.Cn Statistical mechanics of model systems - 75.10.Jm Quantized spin models
(a) email: murrayb@maths.anu.edu.au
Article in PDF format (269 KB)
Online publication: October 26, 1998
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