Eur. Phys. J. B 5, 719-725 (1998)
https://doi.org/10.1007/s100510050495

Excitations in the dilute A_L lattice model: E₆, E₇ and E₈ mass spectra^*

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

Corresponding author: ^a murrayb@maths.anu.edu.au

Received: 17 February 1998
Accepted: 30 April 1998
Published online: 15 October 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.