English

Approximate Canonical Quantization for Cosmological Models

General Relativity and Quantum Cosmology 2009-10-31 v1 High Energy Physics - Theory

Abstract

In cosmology minisuperspace models are described by nonlinear time-reparametrization invariant systems with a finite number of degrees of freedom. Often these models are not explicitly integrable and cannot be quantized exactly. Having this in mind, we present a scheme for the (approximate) quantization of perturbed, nonintegrable, time-reparametrization invariant systems that uses (approximate) gauge invariant quantities. We apply the scheme to a couple of simple quantum cosmological models.

Keywords

Cite

@article{arxiv.gr-qc/9811025,
  title  = {Approximate Canonical Quantization for Cosmological Models},
  author = {Marco Cavaglia},
  journal= {arXiv preprint arXiv:gr-qc/9811025},
  year   = {2009}
}

Comments

16 pages, Latex, accepted for publication in Int. Jou. Mod. Phys. D