Single Particle Excitations in the Lattice E_8 Ising Model

Abstract

We present analytic expressions for the single particle excitation energies of the 8 quasi-particles in the lattice $E_8$ Ising model and demonstrate that all excitations have an extended Brillouin zone which, depending on the excitation, ranges from 0<P < 4πto 0< P< 12 π. These are compared with exact diagonalizations for systems through size 10 and with the E_8 fermionic representations of the characters of the critical system in order to study the counting statistics.

15 pages, 7 figures, TeX, harvmac, corrected numerical error in figures 6 and 7

References in corpus (3)

• Lattice Ising model in a field: E${}_8$ scattering theory
• Exceptional structure of the dilute A${}_3$ model: E${}_8$ and E${}_7$ Rogers--Ramanujan identities
• Scaling Limit of the Ising Model in a Field

Cited by in corpus (8)

• Boundary Conditions in Rational Conformal Field Theories
• 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
• A Collection of Exercises in Two-Dimensional Physics, Part 1
• 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_L models and the Phi_{1,2} perturbation of unitary minimal CFTs
• The dilute A${}_4$ model, the E${}_7$ mass spectrum and the tricritical Ising model