New approach to self-avoiding walks as a critical phenomenon

A new approach is developed to self-avoiding walks as a critical phenomenon. The approach is based on a simple assumption made on the step-step correlation function. This leads to a single scaling field related to the degree of polymerisation. As a result, all critical exponents are related to a single exponent. Moreover, the order parameter and critical fields have a clear physical meaning. The present interpretation of self-avoiding walks as critical suggests an additional meaning of the exponent v in other critical systems.