2 research outputs found
Renormalization Group Flow Equation at Finite Density
For the linear sigma model with quarks we derive renormalization group flow
equations for finite temperature and finite baryon density using the heat
kernel cutoff. At zero temperature we evolve the effective potential to the
Fermi momentum and compare the solutions of the full evolution equation with
those in the mean field approximation. We find a first order phase transition
either from a massive constituent quark phase to a mixed phase, where both
massive and massless quarks are present, or from a metastable constituent quark
phase at low density to a stable massless quark phase at high density. In the
latter solution, the formation of droplets of massless quarks is realized even
at low density.Comment: 30 pages, 9 figures; typos corrected, section 3 revised, one
reference added, two references updated, submitted to Phys. Rev.
Non-Relativistic Fermions Coupled to Transverse Gauge-Fields: The Single-Particle Green's Function in Arbitrary Dimension
We use a bosonization approach to calculate the single-particle Green's
function of non-relativistic fermions coupled to
transverse gauge-fields in arbitrary dimension . We find that in
transverse gauge-fields do not destroy the Fermi liquid, although for
the quasi-particle damping is anomalously large. For the
quasi-particle residue vanishes as
, where
is the Thomas-Fermi wave-vector, is the mass of the electrons, and
is the velocity of the gauge-particle. In the system is a Luttinger
liquid, with anomalous dimension
. For we
find that decays exponentially at large distances.Comment: RevTex, no figures