A Note on inflation and transPlanckian physics

By U. Danielsson. 2002

356 citations recorded by the source corpus.

In this paper we consider the influence of trans-Planckian physics on the CMBR anisotropies produced by inflation. We consider a simple toy model that allows for analytic calculations and argue on general grounds, based on ambiguities in the choice of vacuum, that effects are expected with a magnitude of the order of $H/\ensuremath{\Lambda},$ where H is the Hubble constant during inflation and \ensuremath{\Lambda} the scale for new physics, e.g., the Planck scale.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/155987eba47ca80d0a18f29d695d982f8c05a4f7

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Citations in the corpus

Quantum-Spacetime Phenomenology (2008, background): “Inflation works in such a way that some of the scales that are presently of cosmological interest should have been trans-Planckian scales at the beginning of inflation, and, therefore, cannot be handled satisfactorily without (the correct) quantum gravity [134, 393, 197].”
Planck2018 results (2018, background): “Periodic or quasi-periodic modulations of the power spectrum which extend over the entire observable range of wavenumbers can occur in a variety of models [cf., e.g., Danielsson (2002); Martin & Brandenberger (2003); Bozza et al. (2003); Chen (2012); Jackson & Shiu (2013)].”
The pre-inflationary dynamics of loop quantum cosmology: confronting quantum gravity with observations (2012, unknown): “[8, 77, 78]).”
Initial Conditions for Inflation (2002, background): “The authors of [4,5,13,14,16] considered as a state for the inflaton |α〉, with, for example, e = Hi/M ∼ 10 where Hi is the Hubble constant during inflation.”
Generalized Uncertainty Principle: Approaches and Applications (2014, methodology): “By using μ ′′ κ+μκ (κ 2−a/a) = 0, then the tensorial density fluctuations are given as [160] Pt(κ) = ( H 2 π )2 [ 1− H ǫp sin ( 2 ǫp H )] , (133)”
Transplanckian energy production and slow roll inflation (2004, methodology): “Another possible approach, following [7], is to by hand impose initial conditions (in principle coming from unknown high energy physics), corresponding to a particular inflaton quantum state, and to investigate what the effects, if any, there are on the CMBR.”
Inflation, holography, and the choice of vacuum in de Sitter space (2002, background): “In [27] (and more recently in [28]) another point of view was taken with the focus on the choice of vacuum.”
Signatures of Initial State Modifications on Bispectrum Statistics (2009, background): “This is very reminiscent of the distinction between the New Physics Hypersurface (NPH) [25, 26] and Boundary Effective Field Theory (BEFT) [27, 28] proposals to model initial-state modifications.”
Trans-Planckian issues for inflationary cosmology (2012, background): “These are the α vacua [34] discussed in the context of cosmological perturbations in [28, 35].”