Hot scalar electrodynamics is adopted as a toy model for a hot gluon plasma
to display some aspects of the compulsory resummation of hard thermal loops
when next-to-leading order quantities at soft momentum scales are to be
calculated. [Talk given by A.K.R. at a one-day meeting dedicated to the memory
of Tanguy ALTHERR, held on November 4, 1994 at CERN, Geneva. To appear in a
Gedenkschrift published by World Scientific.]Comment: 11 pages, LaTeX, uses epsf.sty, 1 uuencoded postscript figur