1112.5164 (Akos Rapp et al.)

Asymptotic scattering and duality in the one-dimensional three-state
quantum Potts model on a lattice    [PDF]

Akos Rapp, Peter Schmitteckert, Gabor Takacs, Gergely Zarand

We determine numerically the single-particle and the two-particle spectrum of the three-state quantum Potts model on a lattice by using the density matrix renormalization group method, and extract information on the asymptotic (small momentum) S-matrix of the quasiparticles. The low energy part of the finite size spectrum can be understood in terms of a simple effective model introduced in a previous work, and is consistent with an asymptotic S-matrix of an exchange form below a momentum scale $p^*$. This scale appears to vanish faster than the Compton scale, $mc$, as one approaches the critical point, suggesting that a dangerously irrelevant operator may be responsible for the behavior observed on the lattice.

View original: http://arxiv.org/abs/1112.5164