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Multi-particle structure in the Z{sub n}-chiral Potts models

Technical Report:

Abstract

We calculate the lowest translationally invariant levels of the Z{sub 3}- and Z{sub 4}-symmetrical chiral Potts quantum chains, using numerical diagonalization of the hamiltonian for N{<=}12 and N{<=}10 sites, respectively, and extrapolating N{yields}{infinity}. In the high-temperature massive phase we find that the pattern of the low-lying zero momentum levels can be explained assuming the existence of n-1 particles carrying Z{sub n}-charges Q=1, ..., n-1 (mass m{sub Q}), and their scattering states. In the superintegrable case the masses of the n-1 particles become proportional to their respective charges: m{sub Q}=Qm{sub 1}. Exponential convergence in N is observed for the single particle gaps, while power convergence is seen for the scattering levels. We also verify that qualitatively the same pattern appears for the self-dual and integrable cases. For general Z{sub n} we show that the energy-momentum relations of the particles show a parity non-conservation asymmetry which for very high temperatures is exclusive due to the presence of a macroscopic momentum P{sub m}=(1-2Q/n){Phi}, where {Phi} is the chiral angle and Q is the Z{sub n}-charge of the respective particle. (orig.).
Publication Date:
Oct 01, 1992
Product Type:
Technical Report
Report Number:
BONN-HE-92-32; HEP-TH-9210125
Reference Number:
SCA: 661100; PA: DEN-93:000818; SN: 93000924802
Resource Relation:
Other Information: PBD: Oct 1992
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; QUANTUM MECHANICS; MANY-BODY PROBLEM; CHIRALITY; HAMILTONIANS; ASYMPTOTIC SOLUTIONS; EXTRAPOLATION; REST MASS; ENERGY GAP; EXCITED STATES; CONVERGENCE; P INVARIANCE; SYMMETRY BREAKING; DISPERSION RELATIONS; ENERGY SPECTRA; BOUNDARY CONDITIONS; PERTURBATION THEORY; EIGENVALUES; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10116733
Research Organizations:
Bonn Univ. (Germany). Physikalisches Inst.
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Other: ON: DE93758537; TRN: DE9300818
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
27 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Gehlen, G von, and Honecker, A. Multi-particle structure in the Z{sub n}-chiral Potts models. Germany: N. p., 1992. Web.
Gehlen, G von, & Honecker, A. Multi-particle structure in the Z{sub n}-chiral Potts models. Germany.
Gehlen, G von, and Honecker, A. 1992. "Multi-particle structure in the Z{sub n}-chiral Potts models." Germany.
@misc{etde_10116733,
title = {Multi-particle structure in the Z{sub n}-chiral Potts models}
author = {Gehlen, G von, and Honecker, A}
abstractNote = {We calculate the lowest translationally invariant levels of the Z{sub 3}- and Z{sub 4}-symmetrical chiral Potts quantum chains, using numerical diagonalization of the hamiltonian for N{<=}12 and N{<=}10 sites, respectively, and extrapolating N{yields}{infinity}. In the high-temperature massive phase we find that the pattern of the low-lying zero momentum levels can be explained assuming the existence of n-1 particles carrying Z{sub n}-charges Q=1, ..., n-1 (mass m{sub Q}), and their scattering states. In the superintegrable case the masses of the n-1 particles become proportional to their respective charges: m{sub Q}=Qm{sub 1}. Exponential convergence in N is observed for the single particle gaps, while power convergence is seen for the scattering levels. We also verify that qualitatively the same pattern appears for the self-dual and integrable cases. For general Z{sub n} we show that the energy-momentum relations of the particles show a parity non-conservation asymmetry which for very high temperatures is exclusive due to the presence of a macroscopic momentum P{sub m}=(1-2Q/n){Phi}, where {Phi} is the chiral angle and Q is the Z{sub n}-charge of the respective particle. (orig.).}
place = {Germany}
year = {1992}
month = {Oct}
}