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Nonminimal Coleman--Weinberg Inflation with an $R^2$ term
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abstract
We extend the Coleman--Weinberg inflationary model where a scalar field $\phi$ is non-minimally coupled to gravity with the addition of the $R^2$ term. We express the theory in terms of two scalar fields and going to the Einstein frame we employ the Gildener--Weinberg formalism, compute the one-loop effective potential and essentially reduce the problem to the case of single-field inflation. It turns out that there is only one free parameter, namely, the mixing angle between the scalars. For a wide range of this angle, we compute the inflationary observables which are in agreement with the latest experimental bounds. The effect of the $R^2$ term is that it lowers the value of the tensor-to-scalar ratio $r$.
Forward citations
Cited by 2 Pith papers
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In a scale-invariant R² + unimodular-gravity model, the Goldstone boson of scale symmetry becomes thawing dark energy, with its equation of state fixed by the same coupling that sets the inflationary spectral tilt.
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A complete analysis of inflation with piecewise quadratic potential
A new parameter alpha governs the amplitude, slope, and dip of the curvature power spectrum in piecewise quadratic two-stage inflation, with maximum growth k^5(log k)^2.
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