Hi! Im sttrugled with a question concerning the bosonization technique. When you express the fermionic operator as a vertex operator depending on the bose field, for interacting systems, the scaling of the operator is different of 1/2. That is, for non-interacting electrons, d=1/2. When interactions are switched on this changes and, can we still consider the operator to be a "fermionic" one, or is it, instead an "anyon"? Finally, in terms of calculation of correlation functions, can we compute the single particle Green's function from this picture? (In principle, Wick's theorem doesnt hold) Thank you!