Polymer quantum dynamics of the Taub universe

Marco Valerio Battisti, Orchidea Maria Lecian, Giovanni Montani

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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. © 2008 The American Physical Society.
Original languageEnglish
Article number103514
Pages (from-to)-
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume78
Issue number10
DOIs
Publication statusPublished - 14 Nov 2008
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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