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

Bostan, N.; Guleryuz, Omer; Şenoğuz, Vedat Nefer

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

Cited by 32 publications

(33 citation statements)

References 89 publications

(177 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the presence of a symmetrybreaking potential; one can include the non-zero vacuum expectation value into the picture by taking f (φ) = φ 2 − v 2 as first suggested in ref. [57]. This term requires a symmetry-breaking (v = φ) after the inflation to restore the usual Einstein-Hilbert term √ −gR/2.…”

Section: Modified Gravitational Sector (Jordan Frame)mentioning

confidence: 99%

On the Trans-Planckian Censorship Conjecture and the Generalized Non-Minimal Coupling

Guleryuz

2021

Preprint

View full text Add to dashboard Cite

We investigate the Trans-Planckian Censorship Conjecture (TCC) and the arising bounds on the inflationary cosmology caused by that conjecture. In that investigation, we analyze TCC bounds for both Jordan and Einstein frames in the presence of a generic non-minimal coupling (to gravity) term. That term allows us to use the functional freedom it brings to the inflationary Lagrangian as an effective Planck mass. In this sense, we argue one should consider the initial field value of the effective Planck mass for the TCC. We show that as a result, one can remove the TCC upper bounds without the need to produce a new process or go beyond the standard inflation mechanism, with the generalized non-minimal coupling, and for Higgs-like symmetrybreaking potentials.

show abstract

Section: Modified Gravitational Sector (Jordan Frame)mentioning

confidence: 99%

On the Trans-Planckian Censorship Conjecture and the Generalized Non-Minimal Coupling

Guleryuz

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…This potential has been frequently studied in the context of cosmic inflation and spontaneous symmetry breaking [15][16][17][18][19][20][21][22]. It is a particular realisation of the family of quadratic hilltop potentials [23] that ensures positivity (required here for the calculation of the Planck surface).…”

Section: Hilltop Potentialsmentioning

confidence: 99%

Case for kinetically dominated initial conditions for inflation

et al. 2019

View full text Add to dashboard Cite

We make a case for setting initial conditions for inflation at the Planck epoch in the kinetically dominated regime. For inflationary potentials with a plateau or a hill, i.e. potentials that are bounded from above within a certain region of interest, we cannot claim complete ignorance of the energy distribution between kinetic and potential energy, and equipartition of energy at the Planck epoch becomes questionable. We analyse different classes of potentials in phase-space and quantify the fraction of the Planck surface that is kinetically dominated. For the small amplitudes of the potentials as suggested by current data, the Planck surface lies in the region of kinetic dominance for almost all values of interest of the inflaton field. arXiv:1809.07185v1 [astro-ph.CO]

show abstract

“…We are using units that the reduced Planck scale m P = 1/ √ 8πG ≈ 2.4 × 10 18 GeV is set equal to unity, thus we consider F (φ) → 1 or φ → 0 after inflation. In that case, by taking into consideration m 2 = 1 − ξv 2 , we obtain [33]. What is more, we take into account Palatini quadratic potential in the large-field limit, so to be able to compute observational parameters, we take F (φ) = 1 + ξφ 2 .…”

Section: Palatini Inflation With a Non-minimal Couplingmentioning

confidence: 99%

Quadratic, Higgs and hilltop potentials in the Palatini gravity

Bostan

2019

Preprint

Self Cite

View full text Add to dashboard Cite

In this work, we study inflation with the non-minimally coupled quadratic, Standard Model (SM) Higgs and hilltop potentials through ξφ 2 R term in the Palatini gravity. We first analyze observational parameters of Palatini quadratic potential as functions of ξ for high-N scenario and low-N scenario. In addition to this, taking into account inflaton φ has a non-zero vacuum expectation value v afterwards inflation, we display observational parameters of well-known symmetry-breaking potentials type of Higgs potential and its generalizations which are hilltop potentials in the Palatini formalism for high-N scenario and low-N scenario. We calculate inflationary parameters of Palatini Higgs potential as functions of v for different ξ values where inflaton values both φ > v and φ < v during inflation as well as we show that observational parameters of Palatini Higgs potential in the induced gravity limit for high-N scenario. On the other hand, we illustrate different from the Higgs potential the effect of ξ on hilltop potentials which can agree with the observations for inflaton value solely φ < v and ξ, v 1 for both two scenarios, which we mentioned above. For each considered potentials, we also display n s − r values fit the current data given by the Keck Array/BICEP2 and Planck collaborations.

show abstract

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

Cited by 32 publications

References 89 publications

On the Trans-Planckian Censorship Conjecture and the Generalized Non-Minimal Coupling

On the Trans-Planckian Censorship Conjecture and the Generalized Non-Minimal Coupling

Case for kinetically dominated initial conditions for inflation

Quadratic, Higgs and hilltop potentials in the Palatini gravity

Contact Info

Product

Resources

About