Fermi Surface Renormalization in Two Spatial Dimensions

We discuss the renormalization induced by interactions of a two-dimensional truncated Fermi surface (FS) model.Using a field theoretical renormalization group method we calculate the critical renormalized physical chemical potential. We show that it either vanishes or approaches a non-zero value. We argue that the vanishing of the chemical potential is indicative of a further truncation of the FS we started with and might well represent an insulating spin liquid phase.