Single Particle Excitations in the Lattice E8 Ising Model
Abstract
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 < 4π to 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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