The regime of QCD matter both in
the high temperature and high density is the subject matter of
contemporary research in the recent years. The major component of
the present study is to focus on the quasiparticle excitations and
the physical properties of QGP plasma. First, we will elaborate
the properties of ultra-degenarate plasmas as in core of neutron
stars and gradually shift the discussion to the hot plasmas at
almost zero chemical potential as in RHIC.
It has been recently shown that the behavior of quantum liquids in
the ultrarelativistic regime is very different from the normal
Fermi liquid (FL) behavior. Such non-Fermi liquid behavior for
ultradegenerate matter has significant influence on the neutrino
mean free path, emissivity, pulsar kicks and cooling of the
neutron star which shall be discussed in the presentation.
In the other realm of phase space, for temperatures like at LHC,
the recent experimental results on the flow of $J/\psi$ show
that ample amount of charm quarks is present in the quark gluon
plasma and probably they are thermalized. In the current study
we also investigate the effect of thermalized charm quarks on
the heavy quark energy loss to leading order in the QCD coupling
constant.