The existence of multiply-degenerate vacua in QCD introduces nonlinear
, conformally-invariant modes (instantons). These persist at finite te
mperature T, where they are referred to as calorons. Atiyah and Manton
have given a prescription that allows one to link instantons to skyrm
ions; the caloron is then a skyrmion at finite T We here study the fre
e energy A(T) of this thermal skyrmion and find that, when temperature
-independent parameters are used, A(T) decreases monotonically as T in
creases, so that no stable configuration is reached. Using a pion deca
y constant F(pi)(T) that is a function of temperature, as suggested by
chiral perturbation theory, a maximum in the free energy is found at
around T(c) = 160 MeV. We also study the N and DELTA masses for nonzer
o temperatures using the thermal skyrmion and find them to be apprecia
bly changed from their values at T = 0.