Abstract
ABSTRACT. The Yang-Baxter algebra method to solve integrable models is reviewed. Statistical systems at second order phase transition points should exhibit conformal invariance for long distances. Therefore they will yield conformal quantum field theories in the scaling limit. Their conformal properties can be analysed using finite size scaling behaviour. For integrable lattice models in two dimensions methods are proposed to calculate from the Bethe ansatz solution the “conformal anomaly” and scaling dimensions. As an application results for the q-state Potts model and modified six-vertex models are presented. It is conjectured that the latter exhaust the class of all unitary conformal quantum field theories with “central charge” c > 1.
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