Large field polynomial inflation in Palatini f(R, ϕ) gravity
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Date
2025-01-28
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An IOPBN and SISSA journal
Abstract
In this paper, we employ the Palatini formalism to investigate the dynamics of
large-field inflation using a renormalizable polynomial inflaton potential in the context of
f(R, ϕ) gravity. Assuming instant reheating, we make a comparative analysis of large-field
polynomial inflation (PI). We first consider the minimal and non-minimal coupling of inflaton
in R gravity, and then we continue with the minimally and non-minimally coupled inflaton
in f(R, ϕ) gravity. We scan the parameter space for the inflationary predictions (ns and r)
consistent with the Planck and BICEP/Keck 2018 results as well as the sensitivity forecast
of the future CMB-S4 and depict the compliant regions in the ϕ0 − β plane where ϕ0 and
β are two parameters of polynomial inflation model which control the saddle point of the
potential and the flatness in the vicinity of this point respectively. We find that a substantial
portion of the parameter space aligns with the observational data.
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Keywords
inflation, modified gravity