Covariant derivative expansion of Yang-Mills effective action at high temperatures

Integrating out fast varying quantum fluctuations about Yang–Mills fields Ai and A4, we arrive at the effective action for those fields at high temperatures. Assuming that the fields Ai and A4 are slowly varying but that the amplitude of A4 is arbitrary, we find a nontrivial effective gauge invariant action both in the electric and magnetic sectors. Our results can be used for studying correlation functions at high temperatures beyond the dimensional reduction approximation, as well as for estimating quantum weights of classical static configurations such as dyons. E-mail: [email protected] E-mail: [email protected]