scholarly journals On theτ(2)-model in the chiral Potts model and cyclic representation of the quantum groupUq(sl2)

2009 ◽  
Vol 42 (7) ◽  
pp. 072003 ◽  
Author(s):  
Shi-shyr Roan
Keyword(s):  
Potts Model ◽  
Chiral Potts Model ◽  
Cyclic Representation

scholarly journals QUASI-PARTICLES IN THE CHIRAL POTTS MODEL

1994 ◽  
Vol 08 (25n26) ◽  
pp. 3601-3621 ◽  
Author(s):  
RINAT KEDEM ◽  
BARRY M. McCOY
Keyword(s):  
Transfer Matrix ◽  
Potts Model ◽  
Numerical Study ◽  
Particle Spectrum ◽  
Exact Results ◽  
Chiral Potts Model ◽  
Quasi Particle ◽  
Massive Phase ◽  
Matrix Eigenvalues ◽  
Potts Chain

We study the quasi-particle spectrum of the integrable three-state chiral Potts chain in the massive phase by combining a numerical study of the zeros of associated transfer matrix eigenvalues with the exact results of the ferromagnetic three-state Potts chain and the three-state superintegrable chiral Potts model. We find that the spectrum is described in terms of quasi-particles with momenta restricted only to segments of the Brillouin zone 0≤P≤2π where the boundaries of the segments depend on the chiral angles of the model.

Yang-Baxter equation for the sl(n) chiral potts model

1991 ◽  
Vol 362 (3) ◽  
pp. 563-582 ◽  
Author(s):  
R.M. Kashaev ◽  
V.V. Mangazeev ◽  
T. Nakanishi
Keyword(s):  
Potts Model ◽  
Baxter Equation ◽  
Chiral Potts Model
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