Vector meson dominance, axial anomaly and the thermal behavior of g(pw pi)(T)

By using a thermal Finite Energy QCD Sum Rule, we are able to establish the temperature dependence of the g(omega rho pi)(T) strong coupling. It turns out that this coupling decreases as a function of temperature, vanishing a t the critical temperature. This corresponds to a possible deconfining phen omenological signal. This result, together with the Vector Meson Dominance (VMD) expression for the amplitude pi (0) --> yy allows us to establish tha t this amplitude also vanishes at the critical temperature, in agreement wi th previous independent analysis. This results supports, once again, the va lidity of VMD at finite temperature. Several possible scenarios are discuss ed. However, if VMD would not hold at finite temperature, thermal behavior of the pi (0) --> gamma gamma amplitude.