English

Effective Constraints and Physical Coherent States in Quantum Cosmology: A Numerical Comparison

General Relativity and Quantum Cosmology 2014-11-20 v1 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

A cosmological model with a cyclic interpretation is introduced, which is subject to quantum back-reaction and yet can be treated rather completely by physical coherent state as well as effective constraint techniques. By this comparison, the role of quantum back-reaction in quantum cosmology is unambiguously demonstrated. Also the complementary nature of strengths and weaknesses of the two procedures is illustrated. Finally, effective constraint techniques are applied to a more realistic model filled with radiation, where physical coherent states are not available.

Keywords

Cite

@article{arxiv.0911.4950,
  title  = {Effective Constraints and Physical Coherent States in Quantum Cosmology: A Numerical Comparison},
  author = {Martin Bojowald and Artur Tsobanjan},
  journal= {arXiv preprint arXiv:0911.4950},
  year   = {2014}
}

Comments

32 pages, 25 figures