Quantum scale invariance, cosmological constant and hierarchy problem

TL;DR

This paper develops quantum scale-invariant theories that address the hierarchy and cosmological constant problems, proposing models with spontaneous symmetry breaking and a massless dilaton, with implications for dark energy.

Contribution

It introduces a class of quantum scale-invariant models with spontaneous symmetry breaking, providing new insights into fundamental physics issues.

Findings

Models are scale invariant at all perturbation orders.

Spontaneous breaking leads to a massless dilaton.

Potential implications for dark energy and cosmological constant.

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.