Inflationary predictions of double-well, Coleman-Weinberg, and hilltop potentials with non-minimal coupling

Bostan, Nilay; Güleryüz, Ömer; Şenoğuz, Vedat Nefer

doi:10.1088/1475-7516/2018/05/046

Inflationary predictions of double-well, Coleman-Weinberg, and hilltop potentials with non-minimal coupling

Nilay Bostan
(
- Istanbul U.
)
,
Ömer Güleryüz
(
- Istanbul U.
)
,
Vedat Nefer Şenoğuz
(
- Istanbul U. and
- Mimar Sinan U.
)

Feb 12, 2018

21 pages

Published in:

JCAP 05 (2018) 046

Published: May 16, 2018

e-Print:

1802.04160 [astro-ph.CO]

DOI:

10.1088/1475-7516/2018/05/046 (publication)

View in:

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Abstract: (IOP)

We discuss how the non-minimal coupling ξ2R between the inflaton and the Ricci scalar affects the predictions of single field inflation models where the inflaton has a non-zero vacuum expectation value (VEV) v after inflation. We show that, for inflaton values both above the VEV and below the VEV during inflation, under certain conditions the inflationary predictions become approximately the same as the predictions of the Starobinsky model. We then analyze inflation with double-well and Coleman-Weinberg potentials in detail, displaying the regions in the v-ξ plane for which the spectral index ns and the tensor-to-scalar ratio r values are compatible with the current observations. r is always larger than 0.002 in these regions. Finally, we consider the effect of ξ on small field inflation (hilltop) potentials.

Note:

1+21 pages, 9 figures. v2: added references and a few clarifications, matches published version

coupling: nonminimal
inflation: model
scalar: Ricci
inflaton
Starobinsky model
power spectrum
numerical calculations

References(85)

Figures(13)

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