Polymer quantum dynamics of the Taub universe

Journal Article · Sat Nov 15 04:00:00 EST 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.103514· OSTI ID:21250889

Battisti, Marco Valerio; Lecian, Orchidea Maria ^[1]; Montani, Giovanni ^[1]

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1. Dipartimento di Fisica (G9) and ICRA, 'Sapienza' Universita di Roma P.le A. Moro 5, 00185 Rome (Italy)

Within the framework of nonstandard (Weyl) representations of the canonical commutation relations, we investigate the polymer quantization of the Taub cosmological model. The Taub model is analyzed within the Arnowitt-Deser-Misner reduction of its dynamics, by which a time variable arises. While the energy variable and its conjugate momentum are treated as ordinary Heisenberg operators, the anisotropy variable and its conjugate momentum are represented by the polymer technique. The model is analyzed at both classical and quantum level. As a result, classical trajectories flatten with respect to the potential wall, and the cosmological singularity is not probabilistically removed. In fact, the dynamics of the wave packets is characterized by an interference phenomenon, which, however, is not able to stop the evolution towards the classical singularity.

• OSTI ID: 21250889
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 78; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANISOTROPY
COMMUTATION RELATIONS
COSMOLOGICAL MODELS
INTERFERENCE
QUANTIZATION
SIMULATION
SINGULARITY
UNIVERSE
WAVE PACKETS