  We discuss the origin of the anomalous $T\ln T^{-1}$ behavior of the
low-temperature entropy and specific heat in ultradegenerate QED and QCD and
report on a recent calculation which is complete to leading order in the
coupling and which contains an infinite series of anomalous terms involving
also fractional powers in $T$. This result involves dynamical hard-dense-loop
resummation and interpolates between Debye screening effects at larger
temperatures and non-Fermi-liquid behavior from only dynamically screened
magnetic fields at low temperature.
