P. Kopietz, WHY NORMAL FERMI SYSTEMS WITH SUFFICIENTLY SINGULAR INTERACTIONS DO NOT HAVE A SHARP FERMI-SURFACE, Journal of physics. A, mathematical and general, 28(22), 1995, pp. 571-576
We use a bosonization approach to show that the momentum distribution
n(k) of normal Fermi systems with sufficiently singular interactions i
s analytic in the vicinity of the non-interacting Fermi surface. These
include singular density-density interactions that diverge in d dimen
sions stronger than \q\(-2(d-1)) for vanishing momentum transfer q, bu
t also fermions that are coupled to transverse gauge fields in d < 3.