Polymer quantum dynamics of the Taub universe

Marco Valerio Battisti, Orchidea Maria Lecian, and Giovanni Montani
Phys. Rev. D 78, 103514 – Published 14 November 2008

Abstract

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.

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  • Received 4 June 2008

DOI:https://doi.org/10.1103/PhysRevD.78.103514

©2008 American Physical Society

Authors & Affiliations

Marco Valerio Battisti1,*, Orchidea Maria Lecian1,†, and Giovanni Montani1,2,3,‡

  • 1Dipartimento di Fisica (G9) and ICRA, “Sapienza” Università di Roma P.le A. Moro 5, 00185 Rome, Italy
  • 2ENEA C.R. Frascati (Dipartimento F.P.N.), Via Enrico Fermi 45, 00044 Frascati, Rome, Italy
  • 3ICRANET C.C. Pescara, P.le della Repubblica 10, 65100 Pescara, Italy

  • *battisti@icra.it
  • lecian@icra.it
  • montani@icra.it

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Issue

Vol. 78, Iss. 10 — 15 November 2008

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