Group theoretical Quantization of Isotropic Loop Cosmology

Details Group theoretical Quantization of Isotropic Loop Cosmology Group theoretical Quantization of Isotropic Loop Cosmology

2012-04-02

arxiv.org/abs/1204.0539v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

33 pages, v2: some references updated and added, minor changes in the introduction

Scientific paper

We achieve a group theoretical quantization of the flat Friedmann-Robertson-Walker model coupled to a massless scalar field adopting the improved dynamics of loop quantum cosmology. Deparemeterizing the system using the scalar field as internal time, we first identify a complete set of phase space observables whose Poisson algebra is isomorphic to the su(1,1) Lie algebra. It is generated by the volume observable and the Hamiltonian. These observables describe faithfully the regularized phase space underlying the loop quantization: they account for the polymerization of the variable conjugate to the volume and for the existence of a kinematical non-vanishing minimum volume. Since the Hamiltonian is an element in the su(1,1) Lie algebra, the dynamics is now implemented as SU(1,1) transformations. At the quantum level, the system is quantized as a time-like irreducible representation of the group SU(1,1). These representations are labeled by a half-integer spin, which gives the minimal volume. They provide superselection sectors without quantization anomalies and no factor ordering ambiguity arises when representing the Hamiltonian. We then explicitly construct SU(1,1) coherent states to study the quantum evolution. They not only provide semiclassical states but truly dynamical coherent states. Their use further clarifies the nature of the bounce that resolves the big bang singularity.

Affiliated with

Also associated with

No associations

Rating

Group theoretical Quantization of Isotropic Loop Cosmology does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Group theoretical Quantization of Isotropic Loop Cosmology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Group theoretical Quantization of Isotropic Loop Cosmology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-353887