Phase transition into an instanton crystal state

We propose a class of models exhibiting instanton crystal phase. In this phase, the minimum free energy corresponds to configuration with an imaginary-time-dependent order parameter in form chain alternating instantons and antiinstantons. The resulting characteristic feature state is that average over imaginary time vanishes. study model broad region parameters quantitatively, prove existence we develop efficient numerical scheme, suitable for exact treatment proposed models. certain limit, results demonstrating phase are obtained also analytically. shows there transition between imaginary-time-independent parameter.