2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/216107We construct a class of theories which are scale invariant on quantum level in all orders of perturbation theory. In a subclass of these models scale invariance is spontaneously broken, leading to the existence of a massless dilaton. The applications of these results to the problem of stability of the electroweak scale against quantum corrections, to the cosmological constant problem and to dark energy are discussed.6 pages, replaced with journal versionHigh Energy Physics - TheoryGeneral Relativity and Quantum CosmologyHigh Energy Physics - PhenomenologyQuantum scale invariance, cosmological constant and hierarchy problemtext