English

A toy model of quantum gravity with a quantized cosmological constant

High Energy Physics - Theory 2009-10-30 v1

Abstract

The path integral for the hydrogen atom, for example, is formulated as a one-dimensional quantum gravity coupled to matter fields representing the electron coordinates. The (renormalized) cosmological constant, which corresponds to the energy eigenvalue, is thus quantized in this model. Possible implications of the quantized cosmological constant are briefly discussed.

Keywords

Cite

@article{arxiv.hep-th/9609029,
  title  = {A toy model of quantum gravity with a quantized cosmological constant},
  author = {Kazuo Fujikawa},
  journal= {arXiv preprint arXiv:hep-th/9609029},
  year   = {2009}
}

Comments

8 pages. Accepted for publication in Progress of Theoretical Physics(Kyoto)

R2 v1 2026-07-22T16:01:18.245Z