Shortcomings of the big bounce derivation in loop quantum cosmology

Journal Article · Thu Jul 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.021501· OSTI ID:21410084

Cianfrani, Francesco ^[1]; Montani, Giovanni ^[2]

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1. ICRA-International Center for Relativistic Astrophysics, Dipartimento di Fisica (G9), Universita di Roma 'Sapienza', Piazzale Aldo Moro 5, 00185 Roma (Italy)
2. Dipartimento di Fisica (G9), Universita di Roma 'Sapienza', Piazzale Aldo Moro 5, 00185 Roma (Italy)

We give a prescription to define in loop quantum gravity the electric field operator related to the scale factor of a homogeneous and isotropic cosmological space-time. This procedure allows us to link the fundamental theory with its cosmological implementation. In view of the conjugate relation existing between holonomies and fluxes, the edge length and the area of surfaces in the fiducial metric satisfy a duality condition. As a consequence, the area operator has a discrete spectrum also in loop quantum cosmology. This feature makes the super-Hamiltonian regularization an open issue of the whole formulation.

• OSTI ID: 21410084
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 2; Other Information: DOI: 10.1103/PhysRevD.82.021501; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COSMOLOGY
DUALITY
ELECTRIC FIELDS
HAMILTONIANS
METRICS
QUANTUM GRAVITY
SPACE-TIME
SPECTRA
SURFACES
FIELD THEORIES
MATHEMATICAL OPERATORS
QUANTUM FIELD THEORY
QUANTUM OPERATORS