Critical behaviour of the continuous n-component Potts model

Abstract

The continuous n-component Potts model is studied in the framework of Wilson's multiplicative renormalization group. Apart from the isotropic phi 4 interaction, there is another one inherent in the model for n>2. For n>or=4, it is distinct from any phi 4 interaction that has been investigated in detail. Critical exponents are calculated. The n dependence of the fixed points shows new behaviour; in particular for n in the neighbourhood of five, the epsilon expansion must be reformulated as a power series in epsilon 12/.