Abstract

The Parisi approach to critical behaviour, based on the Callan-Symanzik renormalisation group equation, allows one to work directly in the dimension of interest. This method is applied to two-dimensional N=2 Landau-Ginzburg models with general superpotentials. The relationship of singularity theory to critical behaviour is discussed, and some critical exponents (anomalous dimensions) computed, these being in agreement with those found earlier (for the case of one field) by the ϵ-expansion technique. The issues of existence and stability of fixed points are addressed and the renormalisation group flow between two neighbouring single field models computed.

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