Loop quantum cosmology with higher order holonomy corrections

Dah-Wei Chiou and Li-Fang Li
Phys. Rev. D 80, 043512 – Published 17 August 2009

Abstract

With a well-motivated extension of higher order holonomy corrections, the quantum theory of loop quantum cosmology (LQC) for the k=0 Friedmann-Robertson-Walker model (with a free massless scalar) is rigorously formulated. The analytical investigation reveals that, regardless of the order of holonomy corrections and for any arbitrary states, the matter density remains finite, bounded from above by an upper bound, which equals the critical density obtained at the level of heuristic effective dynamics. Particularly, with all orders of corrections included, the dynamical evolution is shown to follow the bouncing scenario in which two Wheeler-DeWitt solutions (expanding and contracting) are bridged together through the quantum bounce. These observations provide further evidence that the quantum bounce is essentially a consequence of the intrinsic discreteness of LQC and LQC is fundamentally different from the WDW theory. Meanwhile, the possibility is also explored so that the higher order holonomy corrections can be interpreted as a result of admitting generic SU(2) representations for the Hamiltonian constraint operators.

  • Figure
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  • Received 11 July 2009

DOI:https://doi.org/10.1103/PhysRevD.80.043512

©2009 American Physical Society

Authors & Affiliations

Dah-Wei Chiou* and Li-Fang Li

  • Department of Physics, Beijing Normal University, Beijing 100875, China

  • *chiou@gravity.psu.edu
  • lilifang@mail.bnu.edu.cn

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Issue

Vol. 80, Iss. 4 — 15 August 2009

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