Critical and off-critical studies of the Baxter-Wu model with general toroidal boundary conditions

Details Critical and off-critical studies of the Baxter-Wu model with general toroidal boundary conditions Critical and off-critical studies of the Baxter-Wu model with general toroidal boundary conditions

1999-01-12

arxiv.org/abs/cond-mat/9901099v1

Physics

Condensed Matter

Statistical Mechanics

32 pages latex, to appear in J. Phys. A: Math. Gen

Scientific paper

10.1088/0305-4470/32/11/002

The operator content of the Baxter-Wu model with general toroidal boundary conditions is calculated analytically and numerically. These calculations were done by relating the partition function of the model with the generating function of a site-colouring problem in a hexagonal lattice. Extending the original Bethe-ansatz solution of the related colouring problem we are able to calculate the eigenspectra of both models by solving the associated Bethe-ansatz equations. We have also calculated, by exploring the conformal invariance at the critical point, the mass ratios of the underlying massive theory governing the Baxter-Wu model in the vicinity of its critical point.

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