On the universality class of self-avoiding walks

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Abstract
It is shown that, within a two-parameter cell-to-bond position space renormalisation group (PSRG) theory, self-avoiding walks and trails on the square lattice obey the same 'end-to-end distance' critical exponent nu . A critical examination of this result and recent speculations on this problem suggests that one should not draw qualitative predictions based on numerical estimates of the one-parameter PSRG theory.