Dynamical correlations in the Instanton Crystal phase.

Instanton Crystal is a fascinating phase which is encountered when the minimum of the free energy corresponds to a configuration with an imaginary-time-dependent order parameter in the form of a chain of alternating instantons and anti-instantons. An important feature of this phase is that the average of the order parameter over the imaginary time vanishes.

We present the results of the investigation of the real-time correlation functions of the order parameter in the Instanton Crystal Phase. In order to obtain the correlation functions in real-time, we formulate an original method of analytic continuation from imaginary times, which is easily adapted into an efficient numerical scheme for the computations. The resulting correlation functions exhibit non-trivial oscillations in real-time.