Single Particle Excitations in the Lattice E_8 Ising Model
High Energy Physics - Theory
2009-10-30 v3
Abstract
We present analytic expressions for the single particle excitation energies of the 8 quasi-particles in the lattice Ising model and demonstrate that all excitations have an extended Brillouin zone which, depending on the excitation, ranges from 0<P < 4\pi to 0< P< 12 \pi. 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.
Cite
@article{arxiv.hep-th/9611071,
title = {Single Particle Excitations in the Lattice E_8 Ising Model},
author = {Barry M. McCoy and William P. Orrick},
journal= {arXiv preprint arXiv:hep-th/9611071},
year = {2009}
}
Comments
15 pages, 7 figures, TeX, harvmac, corrected numerical error in figures 6 and 7