Quantum scale invariance, cosmological constant and hierarchy problem

Abstract

We 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 version

References in corpus (9)

• Large N Field Theories, String Theory and Gravity
• Cosmology and the Fate of Dilatation Symmetry
• The Standard Model Higgs boson as the inflaton
• Conformal Symmetry and the Standard Model
• Scale invariance, unimodular gravity and dark energy
• Induced gravity inflation in the standard model of particle physics
• Effective Action, Conformal Anomaly and the Issue of Quadratic Divergences
• Is there a new physics between electroweak and Planck scales?
• Quantum scale invariance on the lattice

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