Generic estimate of trans-Planckian modifications to the primordial power spectrum in inflation
By R. Easther, B. Greene, W. H. Shiu. 2002
209 citations recorded by the source corpus.
We derive a general expression for the power spectra of scalar and tensor fluctuations generated during inflation given an arbitrary choice of boundary condition for the mode function at a short distance. We assume that the boundary condition is specified at a short-distance cutoff at a scale $M$ which is independent of time. Using a particular prescription for the boundary condition at momentum $p = M$, we find that the modulation to the power spectra of density and gravitational wave fluctuations is of order $(H/M)$, where $H$ is the Hubble parameter during inflation, and we argue that this behavior is generic, although by no means inevitable. With fixed boundary condition, we find that the shape of the modulation to the power spectra is determined entirely by the deviation of the background spacetime from the de Sitter limit.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/7c68f979c5e7ac088127abe9cf61986cfeac9a3f
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In Astronomy and Astrophysics
- Robert Brandenberger
- U. Danielsson
- Jérôme Martin
- Alek Bedroya
- C. Vafa
- P. Meerburg
- J. Schaar
- Pier Stefano Corasaniti
In Nuclear and High Energy Physics
- Robert Brandenberger
- Jérôme Martin
- U. Danielsson
- Alek Bedroya
- C. Vafa
- P. Meerburg
- J. Schaar
- Pier Stefano Corasaniti
Citations in the corpus
- Inflation, holography, and the choice of vacuum in de Sitter space (2002, background): “In further work by the same authors, [28], the analytical approach has been extended to the case of a varying Hubble constant.”
- Trans-Planckian issues for inflationary cosmology (2012, background): “Some authors have considered general modifications of physics on Planck scales such as modified uncertainty principles [43], space-space non-commutativity [44, 27] and spacetime non-commutativity [45] and computed the changes in the spectrum of perturbations in an inflationary cosmology.”
- Trans-Planckian Censorship and the Swampland (2019, background): “However, it has been pointed out that this framework could fall apart if the mentioned macroscopic fluctuations trace back to trans-Planckian wavelengths during inflation [12– 14] (see also [15, 16]).”
- Signatures of Initial State Modifications on Bispectrum Statistics (2009, background): “This is very reminiscent of the distinction between the New Physics Hypersurface (NPH) [27, 28] and Boundary Effective Field Theory (BEFT) [29, 30] proposals to model initial-state modifications.”
- The pre-inflationary dynamics of loop quantum cosmology: confronting quantum gravity with observations (2012, unknown): “[8, 77, 78]).”