Quantum Gravitational Contributions to the CMB Anisotropy Spectrum

Details Quantum Gravitational Contributions to the CMB Anisotropy Spectrum Quantum Gravitational Contributions to the CMB Anisotropy Spectrum

2011-03-25

arxiv.org/abs/1103.4967v3

Phys. Rev. Lett. 108, 021301 (2012)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, v3: sign error in Eq. (5) and its consequences corrected

Scientific paper

10.1103/PhysRevLett.108.021301

We derive the primordial power spectrum of density fluctuations in the framework of quantum cosmology. For this purpose we perform a Born-Oppenheimer approximation to the Wheeler-DeWitt equation for an inflationary universe with a scalar field. In this way we first recover the scale-invariant power spectrum that is found as an approximation in the simplest inflationary models. We then obtain quantum gravitational corrections to this spectrum and discuss whether they lead to measurable signatures in the CMB anisotropy spectrum. The non-observation so far of such corrections translates into an upper bound on the energy scale of inflation.

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