Inflation with a Planck scale frequency cutoff

By Jens C. Niemeyer. 2000

164 citations recorded by the source corpus.

The implementation of a Planck-scale high frequency and short wavelength cutoff in quantum theories on expanding backgrounds may have potentially nontrivial implications, such as the breaking of local Lorentz invariance and the existence of a yet unknown mechanism for the creation of vacuum modes. In scenarios where inflation begins close to the cutoff scale, these effects could have observable consequences as trans-Planckian modes are redshifted to cosmological scales. In close analogy with similar studies of Hawking radiation, a simple theory of a minimally coupled scalar field in de Sitter space is studied, with a high frequency cutoff imposed by a nonlinear dispersion relation. Under certain conditions the model predicts deviations from the standard inflationary scenario. We also comment on the difficulties in generalizing fluid models of Hawking radiation to cosmological space-times.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/57dd4f00781c708854dad5b3d9b0664a63d3dbd5

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Citations in the corpus

Signatures of short distance physics in the cosmic microwave background (2002, methodology): “produced by parametric resonance have been studied in [7]. Several groups [8, 9 ,10,11,12]”
Initial Conditions for Inflation (2002, background): “To this end, a number of authors [1, 2 ,3,4,5] have argued that high-scale physics can”
Trans-Planckian censorship and inflationary cosmology (2019, background): “[9] J.”
Trans-Planckian issues for inflationary cosmology (2012, methodology): “The original work on the trans-Planckian problem for inflation was performed in the context of modified dispersion relations, [19, 21] for the linear fluctuation modes, following works [22, 23] which studied the dependence of black hole radiation on Planck scale physics.”
Analogue Gravity (2005, methodology): “Further afield, the trans-Planckian problem also reared its head in the context of cosmological inflation, and analogue model ideas previously applied to Hawking radiation were reused in that context [205, 273].”