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arXiv:hep-th/9210125 · Journal of Physics A Mathematical and General

Multi-particle structure in the Zn-chiral Potts models

G von Gehlen, A. Honecker

Published Mar 21, 1993• 7 citations
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Abstract

The authors calculate the lowest translationally invariant levels of the Z 3 - and Z 4 -symmetrical chiral Potts quantum chains, using numerical diagonalization of the Hamiltonian for N<or=12 and N<or=10 sites, respectively, and extrapolating n to infinity . In the high-temperature massive phase they find that the pattern of the low-lying zero momentum levels can be explained assuming the existence of n-1 particles carrying Z n charges Q=1, . . ., n-1 (mass m Q ), and their scattering states. In the superintegrable case the masses of the n-1 particles become proportional to their respective charges: m Q =Qm 1 . Exponential convergence in N is observed for the single-particle gaps, while power convergence is seen for the scattering levels. They also verify that qualitatively the same pattern appears for the self-dual and integrable cases. For general Z n they show that the energy-momentum relations of the particles show a parity nonconservation asymmetry which for very high temperatures is exclusive due to the presence of a macroscopic momentum P m =(1-2Q/n) phi , where phi is the chiral angle and Q is the Z n charge of the respective particle.

DOI
10.1088/0305-4470/26/6/012

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