Joel Feldman, Manfred Salmhofer, Eugene Trubowitz
An inversion theorem in Fermi surface theory
(432K, postscript)
ABSTRACT. We prove a perturbative inversion theorem for the map
between the interacting and the noninteracting Fermi surface
for a class of many fermion systems with strictly convex Fermi
surfaces and short-range interactions between the fermions.
This theorem gives a physical meaning to the counterterm
function K that we use in the renormalization of these models:
K can be identified as that part of the self-energy that causes
the deformation of the Fermi surface when the interaction is
turned on.