English

Natural Inflation with Hidden Scale Invariance

General Relativity and Quantum Cosmology 2016-04-20 v3 High Energy Physics - Phenomenology High Energy Physics - Theory

Abstract

We propose a new class of natural inflation models based on a hidden scale invariance. In a very generic Wilsonian effective field theory with an arbitrary number of scalar fields, which exhibits scale invariance via the dilaton, the potential necessarily contains a flat direction in the classical limit. This flat direction is lifted by small quantum corrections and inflation is realised without need for an unnatural fine-tuning. In the conformal limit, the effective potential becomes linear in the inflaton field, yielding to specific predictions for the spectral index and the tensor-to-scalar ratio, being respectively: ns10.025(N60)1n_s-1\approx -0.025\left(\frac{N_{\star}}{60}\right)^{-1} and r0.0667(N60)1r\approx 0.0667\left(\frac{N_{\star}}{60}\right)^{-1}, where N3065N_{\star}\approx 30-65 is a number of efolds during observable inflation. This predictions are in reasonable agreement with cosmological measurements. Further improvement of the accuracy of these measurements may turn out to be critical in falsifying our scenario.

Keywords

Cite

@article{arxiv.1602.04901,
  title  = {Natural Inflation with Hidden Scale Invariance},
  author = {Neil D. Barrie and Archil Kobakhidze and Shelley Liang},
  journal= {arXiv preprint arXiv:1602.04901},
  year   = {2016}
}

Comments

8 pages, minor revision, to be published in PLB

R2 v1 2026-06-22T12:50:55.606Z