REAL-TIME HADRON PROPERTIES AT FINITE TEMPERATURE FROM A EUCLIDEAN LATTICE

From a dispersion relation point of view a two-point function in either real time or imaginary time is governed by the same spectral function at finite temperature. This fact can be exploited to extract real-time information from a finite Euclidean lattice. To illustrate the idea, the Gross-Neveu model in the large-N limit is solved both in the Minkowski continuum at finite temperature and on a finite temporal Euclidean lattice. The temperature dependences of the real-time bound-state properties and the screening masses are calculated. The relevance of this approach to the realistic QCD simulations is also briefly discussed.