“…Among them the 1/d c expansion have been early performed at leading order [18,19,21,32,37] and, very recently, at next-to-leading order [38]. An improvement of the 1/d c approximation that consists in replacing, within this last approach, the bare propagator and vertices by their dressed and screened counterparts leads to the socalled self-consistent screening approximation (SCSA) that has also been used at leading [33,34,39,40] and next-to-leading order [41]. Finally, a technique working in all dimensions D and d, called nonperturbative renormalization group (NPRG) -see below -has been employed to investigate various kinds of membranes at lead-ing order of the so-called derivative expansion [25,27,[42][43][44][45] and within an approach taking into account the full derivative dependence of the action [46,47].…”