The inversion relation and the dilute A_{3,4,6} eigenspectrum

Abstract

On the basis of the result obtained by applying Baxter's exact perturbative approach to the dilute A_3 model to give the E_8 mass spectrum, the dilute A_L inversion relation was used to predict the eigenspectra in the L=4 and L=6 cases (corresponding to E_7 and E_6 respectively). In calculating the next-to-leading term in the correlation lengths, or equivalently masses, the inversion relation condition gives a surprisingly simple result in all three cases, and for all masses.

9 pages, LaTeX

References in corpus (6)

• Critical amplitudes and mass spectrum of the 2D Ising model in a magnetic field
• Magnetic Correlation Length and Universal Amplitude of the Lattice E_8 Ising Model
• Free Field Approach to the Dilute A_L Models
• Correlation lengths and E_8 mass spectrum of the dilute A_3 lattice model
• Quantum Jacobi-Trudi Formula and $E_8$ Structure in the Ising Model in a Field
• Excitations in the dilute A_L lattice model: E_6, E_7 and E_8 mass spectra

Cited by in corpus (3)

• Correction induced by irrelevant operators in the correlators of the 2d Ising model in a magnetic field
• Ising tricriticality and the dilute A${}_3$ model
• Universal amplitude ratios and Coxeter geometry in the dilute A model