Natural Inflation with a periodic non-minimal coupling

Ferreira, Ricardo Z.; Notari, Alessio; Simeon, Guillem

doi:10.1088/1475-7516/2018/11/021

Cited by 36 publications

(45 citation statements)

References 29 publications

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“…introducing a new periodic non-minimal coupling to gravity [25]. The authors in [25] showed that the new model leads to a better fit with observation data thanks to the introduction of a new parameter in the nonminimal coupling term, with n s and r values well within 95% C.L.…”

Section: This Work Concerns a Recently Proposed Extension Of The Orig...mentioning

confidence: 99%

“…In the context of the present problem and the effective theory treatment, we restrict ourselves to the condition k ≪ 10 −6 M p so that k 0 k 2 m 2 ≪ 1 (more on this later) using the order-ofmagnitude estimates of parameters in Eq. ( 6) from the results of [25]. Hence, logs involving this fraction can be expanded in a Taylor series.…”

Section: Renormalization and Comparisonsmentioning

confidence: 99%

“…( 6), along with m 2 > 0 and φ < f , leads to a constraint on the parameter α of the original theory (2): 0.5 < α 1. Following the results of [25], we choose 0.5 α 0.6 ∼ O (1). Near this value of α, f ∼ M p = 1/κ and Λ ∼ 10 16 GeV .…”

Section: Renormalization and Comparisonsmentioning

confidence: 99%

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Covariant quantum corrections to a scalar field model inspired by nonminimal natural inflation

Aashish,

Panda

2020

Preprint

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We calculate the covariant one-loop quantum gravitational effective action for a scalar field model inspired by the recently proposed nonminimal natural inflation model. Our calculation is perturbative, in the sense that the effective action is evaluated in orders of background field, around a Minkowski background. The effective potential has been evaluated taking into account the finite corrections. An order-of-magnitude estimate of the one-loop corrections reveals that gravitational and non-gravitational corrections have same or comparable magnitudes.

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Section: This Work Concerns a Recently Proposed Extension Of The Orig...mentioning

confidence: 99%

Section: Renormalization and Comparisonsmentioning

confidence: 99%

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Covariant quantum corrections to a scalar field model inspired by nonminimal natural inflation

Aashish,

Panda

2020

Preprint

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“…However, as pointed out in the introduction, such term largely breaks Weyl symmetry. 14 See, however, Ref [71]. for a discussion of non-minimal couplings in natural inflation.…”

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confidence: 99%

Quasi-conformal models and the early universe

Salvio

2019

Eur. Phys. J. C

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Extensions of the Standard Model and general relativity featuring a UV fixed point can leave observable implications at accessible energies. Although mass parameters such as the Planck scale can appear through dimensional transmutation, all fundamental dimension-4 operators can (at least approximately) respect Weyl invariance at finite energy. An example is the Weyl-squared term, whose consistency and observational consequences are studied. This quasi-conformal scenario emerges from the UV complete quadratic gravity and is a possible framework for inflation. We find two realizations. In the first one the inflaton is a fundamental scalar with a quasiconformal non-minimal coupling to the Ricci scalar. In this case the field excursion must not exceed the Planck mass by far. An example discussed in detail is hilltop inflation. In the second realization the inflaton is a pseudo-Goldstone boson (natural inflation). In this case we show how to obtain an elegant UV completion within an asymptotically free QCD-like theory, in which the inflaton is a composite scalar due to new strong dynamics. We also show how efficient reheating can occur. Unlike the natural inflation based on Einstein gravity, the tensor-to-scalar ratio is well below the current bound set by Planck. In both realizations mentioned above, the basic inflationary formulae are computed analytically and, therefore, these possibilities can be used as simple benchmark models.---

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“…Recently, an extension of the original natural inflation model was proposed that introduces a new periodic nonminimal coupling to gravity [3]. This modification leads to a better fit with observation data, with n s and r values well within 95% C.L.…”

Section: Introductionmentioning

confidence: 99%

One-Loop Effective Action for Nonminimal Natural Inflation Model

Aashish¹,

Panda²

2019

Preprint

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Recent and upcoming experimental data as well as the possibility of rich phenomenology has spiked interest in studying the quantum gravitational effects in cosmology at low (inflation-era) energy scales. While Planck scale physics is under development, it is still possible to incorporate quantum gravity effects at relatively low energies using quantum field theory in curved spacetime, which serves as a low-energy limit of planck scale physics. We use the Vilkovisky-DeWitt's covariant effective action formalism to study quantum gravitational corrections to a recently proposed Natural Inflation model with periodic nonminimal coupling. We present the 1-loop effective action for this theory valid in the flat-potential region, considering perturbative corrections upto quadratic order in background scalar fields.

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Natural Inflation with a periodic non-minimal coupling

Cited by 36 publications

References 29 publications

Covariant quantum corrections to a scalar field model inspired by nonminimal natural inflation

Covariant quantum corrections to a scalar field model inspired by nonminimal natural inflation

Quasi-conformal models and the early universe

One-Loop Effective Action for Nonminimal Natural Inflation Model

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