Excitations in the dilute A_L lattice model: E_6, E_7 and E_8 mass spectra

Abstract

On the basis of features observed in the exact perturbation approach solution for the eigenspectrum of the dilute A_3 model, we propose expressions for excitations in the dilute A_4 and A_6 models. Principally, we require that these expressions satisfy the appropriate inversion relations. We demonstrate that they give the expected E_7 and E_6 mass spectra, and universal amplitudes, and agree with numerical expressions for the eigenvalues.

16 pages, Latex, Elsevier style files

References in corpus (1)

• Correlation lengths and E_8 mass spectrum of the dilute A_3 lattice model

Cited by in corpus (6)

• Universal Amplitude Ratios of The Renormalization Group: Two-Dimensional Tricritical Ising Model
• Universal Ratios in the 2-D Tricritical Ising Model
• Ising tricriticality and the dilute A${}_3$ model
• Universal amplitude ratios and Coxeter geometry in the dilute A model
• The inversion relation and the dilute A_{3,4,6} eigenspectrum
• The dilute A${}_4$ model, the E${}_7$ mass spectrum and the tricritical Ising model