Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-08-01
Phys.Rev. D85 (2012) 043501
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
17 pages; 2 figures
Scientific paper
10.1103/PhysRevD.85.043501
We study quantum corrections to Friedmann-Robertson-Walker cosmology with a scalar field under the assumption that the dynamics are subject to renormalisation group improvement. We use the Bianchi identity to relate the renormalisation group scale to the scale factor and obtain the improved cosmological evolution equations. We study the solutions of these equations in the renormalisation group fixed point regime, obtaining the time-dependence of the scalar field strength and the Hubble parameter in specific models with monomial and trinomial quartic scalar field potentials. We find that power-law inflation can be achieved in the renormalisation group fixed point regime with the trinomial potential, but not with the monomial one. We study the transition to the quasi-classical regime, where the quantum corrections to the couplings become small, and find classical dynamics as an attractor solution for late times. We show that the solution found in the renormalisation group fixed point regime is also a cosmological fixed point in the autonomous phase space. We derive the power spectrum of cosmological perturbations and find that the scalar power spectrum is exactly scale-invariant and bounded up to arbitrarily small times, while the tensor perturbations are tilted as appropriate for the background power-law inflation. We specify conditions for the renormalisation group fixed point values of the couplings under which the amplitudes of the cosmological perturbations remain small.
Contillo Adriano
Hindmarsh Mark
Rahmede Christoph
No associations
LandOfFree
Renormalisation group improvement of scalar field inflation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Renormalisation group improvement of scalar field inflation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Renormalisation group improvement of scalar field inflation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-507760