2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/183197We sketch the development of effective theories for SU(2) and SU(3) Yang-Mills thermodynamics. The most important results are quoted and some implications for particle physics and cosmology are discussed.18 pages, 5 figures, v3: consequences of a change in the evolution equations for the effective couplings implemented, practically no change in the physics, erratum to appear in the journal-published versionHigh Energy Physics - TheorySU(2) and SU(3) Yang-Mills thermodynamics and some implicationstext