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

Abstract

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.

arXiv comment32 pages latex, to appear in J. Phys. A: Math. Gen

References in corpus (1)

• Conformal invariance studies of the Baxter-Wu model and a related site-colouring problem

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