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Effective Scenario of Loop Quantum Cosmology · Around

2008

Effective Scenario of Loop Quantum Cosmology

Ding, You, Ma, Yongge, Yang, Jinsong

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Semiclassical states in isotropic loop quantum cosmology are employed to show that the improved dynamics has the correct classical limit.

The effective Hamiltonian for the quantum cosmological model with a massless scalar field is thus obtained, which incorporates also the next to leading order quantum corrections.
The possibility that the higher order correction terms may lead to significant departure from the leading order effective scenario is revealed.
If the semiclassicality of the model is maintained in the large scale limit, there are great possibilities for $k=0$ Friedmann expanding universe to undergo a collapse in the future due to the quantum gravity effect.

Built on

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A. Ashtekar, M. Bojowald and J. Lewandowski, Adv. Theor. Math. Phys. 7
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A. Ashtekar and J. Lewandowski, · 2004
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C. Rovelli, Quantum Gravity , (Cambridge University Press, Cambridge, England, 2004)
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The effective Hamiltonian with leading order corrections is derived independently at almost the same time by V. Taveras, arXiv: 0807.3325v1 [gr-qc]

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