2013
DOI: 10.1088/1475-7516/2013/09/009
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Higher order statistics of curvature perturbations inIFFmodel and its Planck constraints

Abstract: Abstract. We compute the power spectrum P ζ and non-linear parameters f N L and τ N L of the curvature perturbation induced during inflation by the electromagnetic fields in the kinetic coupling model (IF F model). By using the observational result of P ζ , f N L and τ N L reported by the Planck collaboration, we study the constraint on the model comprehensively. Interestingly, if the single slow-rolling inflaton is responsible for the observed P ζ , the constraint from τ N L is most stringent. We also find a … Show more

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Cited by 65 publications
(93 citation statements)
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“…To the best of our knowledge, no magnetogenesis mechanism which consistently produces strong and large-scale helical magnetic fields has been established [42][43][44][45][46][47][48][49]. For instance, the natural inflation model or its relatives naturally generate the helical magnetic field by introducing a coupling between the U(1) gauge field and the axion [53,57,58], but the produced magnetic field is too weak to satisfy the observational lower bound in a minimum setup.…”
Section: Summary and Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…To the best of our knowledge, no magnetogenesis mechanism which consistently produces strong and large-scale helical magnetic fields has been established [42][43][44][45][46][47][48][49]. For instance, the natural inflation model or its relatives naturally generate the helical magnetic field by introducing a coupling between the U(1) gauge field and the axion [53,57,58], but the produced magnetic field is too weak to satisfy the observational lower bound in a minimum setup.…”
Section: Summary and Discussionmentioning
confidence: 99%
“…An analytical expression for the attractor behavior are also given there. The quantitative results 2 To the best of our knowledge, no mechanism is known to be able to produce magnetic fields which satisfy the observational lower bound, still less our scenario [42][43][44][45][46][47][48][49]. Therefore it is challenging and intriguing open question how the magnetic field are generated, while we do not explore it in this paper.…”
mentioning
confidence: 96%
“…Once these couplings are introduced during inflation, the time variation of kinetic function can amplify the quanta of the form field on superhorizon scales. Among these couplings, the particle production of U(1) gauge field has been motivated to explain the presence of intergalactic magnetic field [4][5][6][7][8][9][10][11][12][13][14]. Furthermore, some models of inflation have been investigated in the framework of anisotropic inflation, where the inflaton is kinetically coupled to U(1) gauge field or two-form field [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30].…”
mentioning
confidence: 99%
“…(125), we assumed, as in Ref. [143], that H , , and ρ inf are constant during inflation, and that p inf ρ inf . Equation (126), instead, comes from Eqs.…”
Section: Scalar Curvature Perturbationmentioning
confidence: 99%
“…Other types of configurations are possible, such as the equilateral and the orthogonal. They are, however, inessential for our discussion since a scaling-invariant electromagnetic field produces (under appropriate approximations [143]) only local-type shapes for the bispectrum and trispectrum.…”
Section: Scalar Curvature Perturbationmentioning
confidence: 99%