Phys. Rev. D 71, 103506 (2005) [13 pages]Hamiltonian constraint of loop quantum cosmologyReceived 28 February 2005; published 12 May 2005 In this paper we construct the Hamiltonian constraint operator of loop quantum cosmology using holonomies defined for arbitrary irreducible SU(2) representations labeled by spin J. We show that modifications to the effective semiclassical equations of motion arise both in the gravitational part of the constraint as well as matter terms. The modifications are important for phenomenological investigations of the cosmological imprints of loop quantum cosmology. We discuss the implications for the early universe evolution. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.71.103506
DOI:
10.1103/PhysRevD.71.103506
PACS:
98.80.Qc, 04.60.Kz, 04.60.Pp
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