Preprint number: CP3-Origins-2015-19 DNRF90 and DIAS-2015-19
We investigate the thermodynamic properties of a novel class of gauge-Yukawa theories that have recently been shown to be completely asymptotically safe, because their short-distance behaviour is determined by the presence of an interacting fixed point. Not only do all the coupling constants freeze at a constant and calculable value in the ultraviolet, their values can even be made arbitrarily small for an appropriate choice of the ratio $N_c/N_f$ of fermion colors and flavors in the Veneziano limit. Thus, a perturbative treatment can be justified. We compute the pressure and entropy density of these theories to next-to-next-to-leading order in the coupling constants.