  We summarize recent attempts to extract characteristics of non-perturbative
vacuum structure from lattice measurements of the gauge invariant field
strength correlator. As an alternative to cooling, we propose to apply the
renormalization group (RG) smoothing method in lattice studies. For pure SU(2)
gauge theory we present magnetic and electric correlation lengths and
condensates related to various correlators over a temperature range of 0.7
T_{dec} < T < 1.9 T_{dec}
