Meson correlators at finite temperature - art. no. 034501.

We evaluate equal time point to point spatial correlation functions of meso nic currents at finite temperature. For this purpose we consider the QCD va cuum structure in terms of quark-antiquark condensates and their fluctuatio ns in terms of an irreducible four point structure of the vacuum. The tempe rature dependence of quark condensates is modeled using chiral perturbation theory for low temperatures and lattice QCD simulations near the critical temperature. For the four point function, we assume a simple T dependence s o that it vanishes at T-C. We first consider the propagation of quarks in a condensate medium at finite temperature. We then determine the correlation functions in a hot medium. Parameters such as mass, coupling constant and threshold energy are deduced from the finite temperature correlators. We fi nd that all of them decrease close to the critical temperature. [S0556-2821 (99)05401-6].