- #71
TrickyDicky
- 3,507
- 28
bapowell said:Yes, sure -- they are determined by different aspects of the inflationary dynamics: GW's by the energy density and running by the shape of the potential (mostly by the third derivative, V''').
The scalar perturbation is decidedly *not* scale invariant: [itex]n_s = 1[/itex] is ruled out at several sigma.
Yes, I know it is not exactly scale invariant [itex]n_s = 1[/itex], that would correspond to a pure de Sitter expansion.
My question was referring to exactly how far from scale invariance can it be, that is, my understanding is that certain basic features of what we observed in the CMB spectrum(like the existence of observable peaks at certain Δθ°) were dependent on a close-to- scale invariant power spectrum.
Or am I misunderstanding this quote from wikipedia?: "In physical cosmology, the power spectrum of the spatial distribution of the cosmic microwave background is near to being a scale-invariant function. Although in mathematics this means that the spectrum is a power-law, in cosmology the term "scale-invariant" indicates that the amplitude, P(k), of primordial fluctuations as a function of wave number, k, is approximately constant, i.e. a flat spectrum. This pattern is consistent with the proposal of cosmic inflation."
In this sense I was under the impression that the tension between BICEP2 and Planck was in part because due to the high tensor-scalar ratio observed in order to make them agree one needed to depart excesively from near-scale-invariance with a bigger than expected running of [itex]n_s [/itex], is this moreless right?