Our universe expands and cools. The electroweak (EW) phase transition, which endows masses to the various particles, and QCD phase transition, which gives rise to confinement of quarks and gluons within hadrons in the true QCD vacuum, would presumably have taken place in the early universe, respectively, at around 10-11 s and at a time between 10-5 s and 10-4 s, or at the temperature of about 300 GeV and of about 150 MeV, respectively. There is little doubt that much of what we see today is rooted in phase transitions in the early Universe, overturns of our universe from one phase to a completely different phase. We wish to stress here that occurrence of such phase transitions is closely tied to our Nature's realization of Yang–Mills gauge theories at the moment of creation.