**Armen Sedrakian**

### A quantum kinetic equation for Fermi-systems including three-body
correlations

I discuss the derivation of a single-time quantum transport equation,
which includes effects beyond the quasiparticle approximation. I restrict
myself to Fermi-systems and use the framework of non-equilibrium real-time
Green's functions theory. Ternary correlations are incorporated in the
kinetic description via a cluster expansion for the self-energies (e.g.,
the transport vertex and the width) truncated at the level of three-body
scattering amplitudes. A finite temperature/density formulation of the
three-body problem is given. Corresponding three-body equations reduce to
the well-known Faddeev equations in the vacuum limit. In equilibrium the
equations of state contains virial corrections proportional to the third
quantum virial coefficient. I also discuss the coherence effects in
neutrino pair bremsstrahlung in neutron stars.