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.
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|Publication status||Published - 14 Nov 2008|
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
Battisti, M. V., Lecian, O. M., & Montani, G. (2008). Polymer quantum dynamics of the Taub universe. Physical Review D - Particles, Fields, Gravitation and Cosmology, 78(10), -. . https://doi.org/10.1103/PhysRevD.78.103514