  We revise a phase diagram for the sliding Luttinger liquid (SLL) of coupled
one-dimensional quantum wires packed in two- or three-dimensional arrays. We
analyse whether physically justifiable (reasonable) inter-wire interactions,
i.e. either the screened Coulomb or "Coulomb-blockade" type interactions,
stabilise the SLL phase. Calculating the scaling dimensions of the most
relevant perturbations (the inter-wire single-particle hybridisation,
charge-density wave, and superconducting inter-wire couplings), we find that
their combination always destroys the SLL phase for the repulsive intra-wire
interaction. However, suppressing the inter-wire tunnelling (when the
charge-density wave is the only remaining perturbation), one can observe a
stability region emerging due to the inter-wire interaction.
