Remarks on asymptotically safe inflation

S.-H. Henry Tye and Jiajun Xu
Phys. Rev. D 82, 127302 – Published 28 December 2010

Abstract

We comment on Weinberg’s interesting analysis of asymptotically safe inflation [S. Weinberg, Phys. Rev. D 81, 083535 (2010).]. We find that even if the gravity theory exhibits an ultraviolet fixed point, the energy scale during inflation is way too low to drive the theory close to the fixed point value. We choose the specific renormalization group flow away from the fixed point towards the infrared region that reproduces the Newton’s constant and today’s cosmological constant. We follow this renormalization group flow path to scales below the Planck scale to study the stability of the inflationary scenario. Again, we find that some fine-tuning is necessary to get enough e folds of inflation in the asymptotically safe inflationary scenario.

  • Received 18 August 2010

DOI:https://doi.org/10.1103/PhysRevD.82.127302

© 2010 The American Physical Society

Authors & Affiliations

S.-H. Henry Tye and Jiajun Xu

  • Laboratory for Elementary Particle Physics, Cornell University, Ithaca, New York 14853, USA

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Issue

Vol. 82, Iss. 12 — 15 December 2010

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