Reconstructing the inflaton potential: Perturbative reconstruction to second order

Journal Article · Tue Feb 15 00:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.1840· OSTI ID:5198532

Copeland, E J ^[1]; Kolb, E W ^[2]; Liddle, A R ^[3]; Lidsey, J E ^[4]

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1. School of Mathematical and Physical Sciences, University of Sussex, Brighton BN1 9QH (United Kingdom)
2. NASA/Fermilab Astrophysics Center, Fermi National Accelerator Laboratory, Batavia, Illinois 60510 (United States) Department of Astronomy and Astrophysics, Enrico Fermi Institute, The University of Chicago, Chicago, Illinois 60637 (United States)
3. Astronomy Centre, School of Mathematical and Physical Sciences, University of Sussex, Brighton BN1 9QH (United Kingdom)
4. NASA/Fermilab Astrophysics Center, Fermi National Accelerator Laboratory, Batavia, Illinois 60510 (United States)

One method to reconstruct the scalar field potential of inflation is a perturbative approach, where the values of the potential and its derivatives are calculated as an expansion in departures from the slow-roll approximation. They can then be expressed in terms of observable quantities, such as the square of the ratio of the gravitational wave amplitude to the density perturbation amplitude, the deviation of the spectral index from the Harrison-Zel'dovich value, etc. Here, we calculate complete expressions for the second-order contributions to the coefficients of the expansion by including for the first time corrections to the standard expressions for the perturbation spectra. As well as offering an improved result, these corrections indicate the expected accuracy of the reconstruction. Typically the corrections are only a few percent.

• OSTI ID: 5198532
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 49:4; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Pa
INFLATIONARY UNIVERSE
PERTURBATION THEORY
POTENTIALS
SCALAR FIELDS
AMPLITUDES
CORRECTIONS
EXPLORER SATELLITES
GRAVITATIONAL WAVES
COSMOLOGICAL MODELS
MATHEMATICAL MODELS
SATELLITES
662210* - Specific Theories & Interaction Models
Particle Systematics- Unified Theories & Models- (1992-)