The paper derives potentials V = Λ²|f⁻¹(u_R/√2)|² from K = K₋(f(T)) and W = ΛST, and scans M and p to match Planck data with hilltop, Starobinsky-like, plateau, log-squared, and bell-curve shapes.
Role of trans-Planckian modes in cosmology
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abstract
Motivated by the old trans-Planckian (TP) problem of inflationary cosmology, it has been conjectured that any consistent effective field theory should keep TP modes `hidden' behind the Hubble horizon, so as to prevent them from turning classical and thereby affecting macroscopic observations. In this paper we present two arguments against the Hubble horizon being a scale of singular significance as has been put forward in the TP Censorship Conjecture (TCC). First, refinements of TCC are presented that allow for the TP modes to grow beyond the horizon while still keeping the de-Sitter conjecture valid. Second, we show that TP modes can turn classical even well within the Hubble horizon, which, as such, negates this rationale behind keeping them from crossing it. The role of TP modes is known to be less of a problem in warm inflation, because fluctuations start out usually as classical. This allows warm inflation to be more resilient to the TP problem compared to cold inflation. To understand how robust this is, we identity limits where quantum modes can affect the primordial power spectrum in one specific case.
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hep-th 1years
2019 1verdicts
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Inflation in supergravity from field redefinitions
The paper derives potentials V = Λ²|f⁻¹(u_R/√2)|² from K = K₋(f(T)) and W = ΛST, and scans M and p to match Planck data with hilltop, Starobinsky-like, plateau, log-squared, and bell-curve shapes.