Quantum-gravitational effects on gauge-invariant scalar and tensor perturbations during inflation: The de Sitter case

@article{Brizuela2016QuantumgravitationalEO,
  title={Quantum-gravitational effects on gauge-invariant scalar and tensor perturbations during inflation: The de Sitter case},
  author={David Brizuela and Claus Kiefer and Manuel Kraemer},
  journal={Physical Review D},
  year={2016},
  volume={93},
  pages={104035}
}
We present detailed calculations for quantum-gravitational corrections to the power spectra of gauge-invariant scalar and tensor perturbations during inflation. This is done by performing a semiclassical Born-Oppenheimer type of approximation to the Wheeler-DeWitt equation, from which we obtain a Schroedinger equation with quantum-gravitational correction terms. As a first step, we perform our calculation for a de Sitter universe and find that the correction terms lead to an enhancement of… Expand

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References

SHOWING 1-10 OF 37 REFERENCES
Quantum Field Theory in Curved Spacetime: Frontmatter
This book develops quantum field theory in curved spacetime in a pedagogical style, suitable for graduate students. The authors present detailed, physically motivated, derivations of cosmological andExpand
Quantum Gravity
General lectures on quantum gravity. 1 General Questions on Quantum Gravity It is not clear at all what is the problem in quantum gravity (cf. [3] or [8] for general reviews, written in the sameExpand
Ann
Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixedExpand
Phys
  • Rep. 215, 203
  • 1992
Phys
  • Rev. Lett. 108, 021301
  • 2012
Phys
  • Rev. Lett. 107, 211302 (2011); J. Cosmol. Astropart. Phys. 11 (2011) 046; I. Agulló, A. Ashtekar, and W. Nelson, Phys. Rev. Lett. 109, 251301 (2012); Phys. Rev. D 87, 043507 (2013); Class. Quantum Grav. 30, 085014 (2013); B. Bolliet, J. Grain, C. Stahl, L. Linsefors, and A. Barrau, Phys. Rev. D 91,
  • 2016
Astropart
  • Phys. 04
  • 2015
Int
  • J. Mod. Phys. D 23, 1430020
  • 2014
Phys
  • Rev. D 86, 024003 (2012); ibid. 88, 044013 (2013); ibid. 89, 044041 (2014); L. C. Gomar, M. Fernández-Méndez, G. A. Mena Marugán, and J. Olmedo, ibid. 90, 064015
  • 2014
Phys
  • Rev. D 89, 084032
  • 2014
...
1
2
3
4
...