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On the measure problem in slow roll inflation and loop quantum cosmology · Around

2010

On the measure problem in slow roll inflation and loop quantum cosmology

Corichi, Alejandro, Karami, Asieh

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We consider the measure problem in standard slow-roll inflationary models from the perspective of loop quantum cosmology (LQC).

Following recent results by Ashtekar and Sloan, we study the probability of having enough e-foldings and focus on its dependence on the quantum gravity scale, including the transition of the theory to the limit where general relativity (GR) is recovered.
Contrary to the standard expectation, the probability of having enough inflation, that is close to one in LQC, grows and tends to 1 as one approaches the GR limit.
We study the origin of the tension between these results with those by Gibbons and Turok, and offer an explanation that brings these apparent contradictory results into a coherent picture.

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Similar

C. Germani, W. Nelson and M. Sakellariadou, “On the onset of inflation in loop quantum cosmology,” Phys. Rev. D 76
2007
Cited alongside, same era.
G. W. Gibbons and N. Turok, “The measure problem in cosmology,” Phys. Rev. D 77
2008
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A. Ashtekar, A. Corichi and P. Singh, “Robustness of key features of loop quantum cosmology,” Phys. Rev. D 77
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2008
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V. Taveras, “Corrections to the Friedman equations from LQG for a Universe with a free scalar field”, Phys. Rev. D 78
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2008
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A. D. Linde, “Inflationary Cosmology,” Lect. Notes Phys. 738
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2008
Cited alongside, same era.

Then

A. Corichi and P. Singh, “Is loop quantization in cosmology unique?,” Phys. Rev. D 78
Original
2009
Later among the works it cites.
J. B. Hartle, S. W. Hawking and T. Hertog, “The No-Boundary Measure of the Universe,” Phys. Rev. Lett. 100
Original
2009
Later among the works it cites.
A. Corichi and P. Singh, “Quantum bounce and cosmic recall,” Phys. Rev. Lett. 100
Original
2010
Closest in time.
A. Ashtekar and D. Sloan, “Loop quantum cosmology and slow roll inflation,” Phys. Lett. B 694
Original
2010
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J. Mielczarek, “Possible observational effects of loop quantum cosmology,” Phys. Rev. D 81
Original

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A. Corichi, T. Vukasinac and J.A. Zapata, “Polymer quantum mechanics and its continuum limit”, Phys Rev D76

2008

Cited alongside, same era.

A. Ashtekar, “Loop Quantum Cosmology: An Overview,” Gen. Rel. Grav. 41

2009

Cited alongside, same era.

For a recent summary of results see: A. Corichi, “Black holes and entropy in loop quantum gravity: An overview,” arXiv:0901.1302 [gr-qc]

Cited in the paper.

A. Ashtekar, T. Pawlowski, P. Singh, (In preparation)

Cited in the paper.

2010

Closest in time.

A. Ashtekar and D. Sloan, “Probability of Inflation in Loop Quantum Cosmology”, arXiv:1103.2475 [gr-qc]

2010

Closest in time.