One-loop modified gravity in a de Sitter universe, quantum-corrected inflation, and its confrontation with the Planck result

2014/04/30 by Kazuharu Bamba, Guido Cognola, Sergei D. Odintsov +1 · 7 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #astro-ph.CO #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.90.023525

published as Phys. Rev. D 90, 023525 (2014) · 21 pages, no figure, several references added

arxiv created 2014/05/22 · openalex publication_date 2014/07/16 · arxiv updated 2014/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Motivated by issues on inflation, a generalized modified gravity model is investigated, where the model Lagrangian is described by a smooth function f(R,K,\ensuremathφ) of the Ricci scalar R, the kinetic term K of a scalar field \ensuremathφ. In particular, the one-loop effective action in the de Sitter background is examined on shell as well as off shell in the Landau gauge. In addition, the on-shell quantum equivalence of f(R) gravity in the Jordan and Einstein frames is explicitly demonstrated. Furthermore, we present applications related to the stability of the de Sitter solutions and the one-loop quantum correction to inflation in quantum-corrected R² gravity. It is shown that, for a certain range of parameters, the spectral index of the curvature perturbations can be consistent with the Planck analysis, but the tensor-to-scalar ratio is smaller than the minimum value within the 1\ensuremathσ error range of the BICEP2 result.

Citations

• Reconstructing inflationary potential from BICEP2 and running of tensor modes
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Quantum Fields in Curved Space
• Adiabatic regularization of the graviton stress-energy tensor in de Sitter space-time
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• The Standard Model Higgs boson as the inflaton
• Detection ofB-Mode Polarization at Degree Angular Scales by BICEP2
• INTRODUCTION TO MODIFIED GRAVITY AND GRAVITATIONAL ALTERNATIVE FOR DARK ENERGY
• Planck 2015 results

Cited by

• Reinterpretation of the Starobinsky model
• Inflationary universe from higher-derivative quantum gravity
• Reconstruction of inflation models
• Chaotic inflation in higher derivative gravity theories
• Reconstruction of scalar field theories realizing inflation consistent with the Planck and BICEP2 results
• Inflation in an effective gravitational model and asymptotic safety
• Inflationary universe from perfect fluid andF(R)gravity and its comparison with observational data

Related

• Graviton one-loop effective action and inflationary dynamics
• Study of General Relativity and f(R) Modified Gravity with Cosmological Constant for Einstein and Jordan Frames
• Quantum Gravity Corrections to the One Loop Scalar Self-Mass during Inflation
• One-loop Euclidean Einstein-Weyl gravity in de Sitter universe
• Inflationary cosmology in modified gravity theories