On the SYK model in real time

Nonperturbative formulation of the Sachdev-Ye-Kitaev (SYK) model in real time is discussed. We note that the generating functional of the SYK model in real time is well defined after the transformation to the bilocal fields and it can be used for nonperturbative investigations of its properties. The results of study of SYK model in zero dimensions at large N expansion in particular, phase structure will be presented. Based on paper by I. Aref'eva and I.Volovich, ТМФ, 197:2(2018), 296–310, arXiv: 1801.08118