Abstract
The functional RG (FRG) approach to pinning of d-dimensionalmanifolds is re-examined at any temperature T. The couplingfunction R(u) is shown to be a physical observable in any d,exactly related to a free energy cumulant in a parabolic well. Ind = 0 its beta function is displayed to a high order, ambiguitiesresolved; for random field disorder (Sinai model) we obtain exactlythe T = 0 fixed point R(u) and its thermal boundary layer (TBL)form (i.e. for u ∼ T) at T > 0. Connection between FRG in d = 0and decaying Burgers turbulence is discussed. An exact solution tothe functional RG hierarchy in the TBL is obtained for any d andrelated to droplet probabilities.
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