  The phase structure and the infrared behaviour of the Euclidean 3-dimensional
$O(2)$ symmetric ghost scalar field model with higher-order derivative term has
been investigated in Wegner and Houghton's renormalization group framework. The
symmetric phase in which no ghost condensation occurs and the phase with
restored symmetry but with a transient presence of a ghost condensate have been
identified. Finiteness of the correlation length at the phase boundary hints to
a phase transition of first order. The results are compared with those for the
ordinary $O(2)$ symmetric scalar field model.

High Energy Physics - Theory