Phase diagram and two-particle structure of the $Z_3$-chiral Potts model
| dc.creator | von Gehlen, G. | |
| dc.date | 1992-07-08 | |
| dc.date.accessioned | 2026-07-07T04:18:47Z | |
| dc.date.available | 2026-07-07T04:18:47Z | |
| dc.description | We calculate the low-lying part of the spectrum of the $Z_3$-symmetrical chiral Potts quantum chain in its self-dual and integrable versions, using numerical diagonalisation of the hamiltonian for $N \leq 12$ sites and extrapolation $N \ra \infty$. From the sequences of levels crossing we show that the massive phases have oscillatory correlation functions. We calculate the wave vector scaling exponent. In the high-temperature massive phase the pattern of the low-lying levels can be explained assuming the existence of two particles, with $Z_3$-charge $Q\!=\!1$ and $Q\!=\!2$, and their scattering states. In the superintegrable case the $Q\!=\!2$-particle has twice the mass of the $Q\!=\!1$-particle. Exponential convergence in $N$ is observed for the single particle gaps, while power convergence is seen for the scattering levels. In the high temperature limit of the self-dual model the parity violation in the particle dispersion relation is equivalent to the presence of a macroscopic momentum $P_m = \pm \vph/3$, where $\vph$ is the chiral angle. | |
| dc.description | 20 pages, (LATEX), preprint BONN-HE-92-18 | |
| dc.identifier | https://arxiv.org/abs/hep-th/9207022 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9207022 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53329 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Phase diagram and two-particle structure of the $Z_3$-chiral Potts model | |
| dc.type | text |