Dilatation symmetry in higher dimensions and the vanishing of the cosmological constant

Abstract

A wide class of dilatation symmetric effective actions in higher dimensions leads to a vanishing four-dimensional cosmological constant. This requires no tuning of parameters and results from the absence of an allowed potential for the scalar dilaton field. The field equations admit many solutions with flat four-dimensional space and non-vanishing gauge couplings. In a more general setting, these are candidates for asymptotic states of cosmological runaway solutions, where dilatation symmetry is realized dynamically if a fixed point is approached as time goes to infinity. Dilatation anomalies during the runaway can lift the degeneracy of solutions and lead to an observable dynamical dark energy.

4 pages

References in corpus (3)

• Cosmology and the Fate of Dilatation Symmetry
• Naturalness of exponential cosmon potentials and the cosmological constant problem
• Constraints for warped branes

Cited by in corpus (16)

• Dark Energy
• Asymptotic safety of gravity and the Higgs boson mass
• Renormalization Group Flow in Scalar-Tensor Theories. I
• Inflation, quintessence, and the origin of mass
• Renormalization Group Flow in Scalar-Tensor Theories. II
• Testing (modified) gravity with 3D and tomographic cosmic shear
• Modified gravity and coupled quintessence
• Coupled dark energy and dark matter from dilatation anomaly
• Small scale structures in coupled scalar field dark matter
• The cosmological constant and higher dimensional dilatation symmetry
• Dynamical Foundations of the Brane Induced Gravity
• Warping with dilatation symmetry and self-tuning of the cosmological constant
• Chameleonic dilaton and conformal transformations
• Species, chameleonic strings and the concept of particle
• General Solutions of Braneworlds under the Schwarzschild Ansatz
• Spherical accretion onto higher-dimensional Reissner-Nordström Black Hole