2015
DOI: 10.1088/1475-7516/2015/02/029
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On the scalar consistency relation away from slow roll

Abstract: Abstract. As is well known, the non-Gaussianity parameter f NL , which is often used to characterize the amplitude of the scalar bi-spectrum, can be expressed completely in terms of the scalar spectral index n s in the squeezed limit, a relation that is referred to as the consistency condition. This relation, while it is largely discussed in the context of slow roll inflation, is actually expected to hold in any single field model of inflation, irrespective of the dynamics of the underlying model, provided inf… Show more

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Cited by 41 publications
(46 citation statements)
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“…Whenever a theory admits one or more gauge symmetries (SU (3) c in the case of QCD for example), one must also a priori allow for the possibility of xlii In addition to generating potentially observable tensor non-Gaussianties over a limited range of scales [170][171][172].…”
Section: Effective Potential Modulations and Phase Transitionsmentioning
confidence: 99%
“…Whenever a theory admits one or more gauge symmetries (SU (3) c in the case of QCD for example), one must also a priori allow for the possibility of xlii In addition to generating potentially observable tensor non-Gaussianties over a limited range of scales [170][171][172].…”
Section: Effective Potential Modulations and Phase Transitionsmentioning
confidence: 99%
“…As we have pointed out before, the WWI essentially generates same power spectra as generated by Starobinsky-1992 model of inflation with a spectral tilt of ∼ 0.96. The bispectra generated from this model, hence are of same shape as discussed in literature [38,[49][50][51][52]. To evaluate the f NL from the WWI model we have used a Theta function and Delta function with a width similar to WWI-d model, to reproduce the effects of the singularity in the second derivative of the potential.…”
Section: Non-gaussianitymentioning
confidence: 99%
“…Therefore, in the squeezed limit, the three-point function can be completely expressed in terms of the two-point function through a relation referred to as the consistency condition (see Refs. [75][76][77][78][79][80][81] in the context of three-point functions involving scalar and tensor perturbations, and Refs. [71,72] for cross-correlations between the scalar perturbation and the magnetic fields).…”
Section: Introductionmentioning
confidence: 99%