The O(n) model in the n→0 limit (self-avoiding-walks) and logarithmic conformal field theory

We consider the O(n) theory in the n→0 limit. We show that the theory is described by logarithmic conformal field theory, and that the correlation functions have logarithmic singularities. The explicit forms of the two-, three- and four-point correlation functions of the scaling fields and the corresponding logarithmic partners are derived.