R{sup 2}log R quantum corrections and the inflationary observables

Journal Article · Mon Sep 01 04:00:00 EDT 2014 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2014/09/005· OSTI ID:22375904

Ben-Dayan, Ido; Westphal, Alexander ^[1]; Jing, Shenglin ^[2]; Torabian, Mahdi ^[3]; Zarate, Lucila ^[4]

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1. DESY Theory Group, Notkestrasse 85, D-22607 Hamburg (Germany)
2. Canadian Institute for Theoretical Astrophysics, University of Toronto, 60 St.George Street, Toronto, ON, M5S 3H8 (Canada)
3. School of Particles and Accelerators, Institute for Research in Fundamental Sciences, P.O.Box 19395-5531, Tehran (Iran, Islamic Republic of)
4. Institut für Theoretische Physik, Universität Hamburg, Notkestrasse 85, D-22761 Hamburg (Germany)

We study a model of inflation with terms quadratic and logarithmic in the Ricci scalar, where the gravitational action is f(R)=R+α R{sup 2}+β R{sup 2} ln R. These terms are expected to arise from one loop corrections involving matter fields in curved space-time. The spectral index n{sub s} and the tensor to scalar ratio yield 4 × 10{sup -4}∼< r∼<0.03 and 0.94∼< n{sub s} ∼< 0.99. i.e. r is an order of magnitude bigger or smaller than the original Starobinsky model which predicted r∼ 10{sup -3}. Further enhancement of r gives a scale invariant n{sub s}∼ 1 or higher. Other inflationary observables are d n{sub s}/dln k ∼> -5.2 × 10{sup -4}, μ ∼< 2.1 × 10{sup -8} , y ∼< 2.6 × 10{sup -9}. Despite the enhancement in r, if the recent BICEP2 measurement stands, this model is disfavoured.

• OSTI ID: 22375904
• Journal Information: Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 09 Vol. 2014; ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTRONOMY AND ASTROPHYSICS
CORRECTIONS
COSMOLOGICAL INFLATION
MATHEMATICAL SPACE
MATTER
SCALARS
SPACE-TIME
TENSORS
YIELDS