Chiral Potts model and the discrete Sine-Gordon model at roots of unity - Mathematical PhysicsReportar como inadecuado




Chiral Potts model and the discrete Sine-Gordon model at roots of unity - Mathematical Physics - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: The discrete quantum Sine-Gordon model at roots of unity remarkably combinesa classical integrable system with an integrable quantum spin system, whoseparameters obey classical equations of motion. We show that the fundamentalR-matrix of the model which satisfies a difference property Yang-Baxterequation naturally splits into a product of a singular -classical- part and afinite dimensional quantum part. The classical part of the $R$-matrix itselfsatisfies the quantum Yang-Baxter equation, and therefore can be factored outproducing, however, a certain -twist- of the quantum part. We show that theresulting equation exactly coincides with the star-triangle relation of theN-state chiral Potts model. The associated spin model on the whole lattice is,in fact, more general than the chiral Potts and reduces to the latter only forthe simplest constant classical background. In a general case the model isinhomogeneous: its Boltzmann weights are determined by non-trivial backgroundsolutions of the equations of motion of the classical discrete sine-Gordonmodel.



Autor: Vladimir V. Bazhanov

Fuente: https://arxiv.org/







Documentos relacionados