English

Quantum scale invariance, cosmological constant and hierarchy problem

High Energy Physics - Theory 2009-01-16 v3 General Relativity and Quantum Cosmology High Energy Physics - Phenomenology

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.

Keywords

Cite

@article{arxiv.0809.3406,
  title  = {Quantum scale invariance, cosmological constant and hierarchy problem},
  author = {Mikhail Shaposhnikov and Daniel Zenhausern},
  journal= {arXiv preprint arXiv:0809.3406},
  year   = {2009}
}

Comments

6 pages, replaced with journal version

R2 v1 2026-06-21T11:22:13.722Z