Slow roll approximation
Webb19 jan. 2010 · We develop a variant of the generalized slow roll approach for calculating the curvature power spectrum that is well suited for order unity deviations in power … Webb15 dec. 1994 · The meaning of the inflationary slow-roll approximation is formalized. Comparisons are made between an approach based on the Hamilton-Jacobi equations, …
Slow roll approximation
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WebbWe compute the primordial curvature spectrum generated during warm inflation, including shear viscous effects. The primordial spectrum is dominated by the thermal fluctuations of the radiation bath, sourced by the diss… Webb28 maj 2024 · Nevertheless, the procedure can be simplified if one imposes the slow-roll approximation and introduces the slow-roll parameters [ 83 ], either in the case where …
Webb11 mars 2024 · This is the slow-roll approximation and has been recognized as a practical way to realize inflation. In this scenario, instead of tunneling out of a false vacuum state, … Webb6 apr. 2024 · The values (b, χ) are reached by an instanton we have described if they lie on a slow-roll trajectory (a Re, ϕ Re) which has passed through for some where the slow-roll …
Webb3 apr. 2014 · Testing the slow-roll approximation, Hybrid Natural Inflation and the tensor index with BICEP2 Authors: Mariana Carrillo Gonzalez Imperial College London Gabriel Germán Universidad Nacional... Webbslow-roll approximation, which is expected to be accurate to a few percent or better. From these expressions, we can compute the spectral indices [8]: ns ≃ 1− 6ǫ+ 2η ; nt ≃ −2ǫ. (24.6) Another useful quantity is the ratio of the two spectra, defined by r ...
Webb5 apr. 2024 · We re-express all slow-roll parameters, slow-roll conditions and the acceleration condition in NLS form. The WKB approximation in the NLS formulation is also discussed while simplifying to the linear case. Most of the Schr¨odinger potentials in the NLS formulation are very slowly varying; hence the WKB approximation is valid in some …
Webb1 okt. 2024 · Slow roll inflation requires that the effective inflaton mass should be much smaller than the Hubble parameter during inflation, that is m2 ≪ H2. However, when we try to build an inflation model in the framework of string theory or supergravity, one often encounter an Hubble induced inflaton mass, that is m2 ∼ H2[1], [2]. interview rockefellerWebb14 aug. 2024 · In this framework and assuming the slow-roll approximation, a possible methodology for the reconstruction of inflation is the parametrization of these cosmological quantities or parameters in terms of the number of e- folds N. interview riberyWebbThe Slow-Roll Approximation 0 = LO0 p 1− 1 /3, and iteratively applies d which is again a direct consequence of Eq. (2.19). Doing so, one obtains NNLO0 = LO0 Let us move on to the slow-roll trajectory. At next-to-leading order, it proceeds from combining Eq. (2.19) and Eq. (2.22), which gives rise to ∆N SRNLO =− 1 interview rihannaWebbThe ‘slow-roll approximation’ [3, 4, 5], which neglects the most slowly changing terms in the equations of motion, is the most widely used. Although this approximation works well in … interview role play scenarios for managersWebb16 dec. 2024 · When the slow-roll approximation is violated in constant-roll inflation, the scalar and tensor perturbations equations derived in the slow-roll approximation case also require modification. interview role play examplesWebbbe neglected in the equation of motion, which then takes the slow-rolling form for homogeneous fields: 3Hφ˙ = −dV/dφ. (147) In combination with Friedmann’s equation in … interview rmcWebbIn inflationary theory, many papers start off by making the slow-roll approximation, on which many things depend. This approximation is usually presented by requiring that two 'slow-roll parameters' are small: ϵ V ≡ 1 16 π G ( V ′ V) 2 ≪ 1. η V ≡ 1 8 π G ( V ″ V) ≪ 1. interview roleplay