  We investigate the influence of medium effects on the structure of hybrid
stars, i.e. neutron stars possessing a quark matter core. We found that medium
effects reduce the extent of a pure quark matter phase in the interior of a
hybrid star significantly in favor of a mixed phase of quark and hadronic
matter. Over a wide range of the strong coupling constant - which parameterizes
the influence of medium effects - quark matter is able to exist at least in a
mixed phase in the interior of neutron stars.
