Single Particle Excitations in the Lattice E₈ Ising Model
McCoy, Barry M. · Orrick, William P.
Original · EN
We present analytic expressions for the single particle excitation energies of the 8 quasi-particles in the lattice E₈ 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 E₈ fermionic representations of the characters of the critical system in order to study the counting statistics.
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