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Research PapersNo Access

A toy model of discretized gravity in two dimensions and its extensions

Marcello Rotondo

Department of Physics, Nagoya University, Nagoya 464-8602, Japan

E-mail Address: marcello@gravity.phys.nagoya-u.ac.jp

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and

Shin’ichi Nojiri

Department of Physics, Nagoya University, Nagoya 464-8602, Japan

Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University, Nagoya 464-8602, Japan

E-mail Address: nojiri@phys.nagoya-u.ac.jp

Corresponding author

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https://doi.org/10.1142/S0217732317501498Cited by:1 (Source: Crossref)

Abstract

We propose a toy model of quantum gravity in two dimensions with Euclidean signature. The model is given by a kind of discretization which is different from the dynamical triangulation. We show that there exists a continuum limit and we can calculate some physical quantities such as the expectation value of the area, that is, the volume of the two-dimensional Euclidean spacetime. We also consider the extensions of the model to higher dimensions.

Keywords:

PACS: 04.60.Kz, 04.60.Nc

References

1. F. David, Nucl. Phys. B 257, 45 (1985), doi:10.1016/0550-3213(85)90335-9. Crossref, Web of Science, ADS, Google Scholar
2. F. David, Nucl. Phys. B 257, 543 (1985), doi:10.1016/0550-3213(85)90363-3. Crossref, Web of Science, ADS, Google Scholar
3. F. David, Mod. Phys. Lett. A 3, 1651 (1988), doi:10.1142/S0217732388001975. Link, Web of Science, ADS, Google Scholar
4. M. R. Douglas and S. H. Shenker, Nucl. Phys. B 335, 635 (1990), doi:10.1016/0550-3213(90)90522-F. Crossref, Web of Science, ADS, Google Scholar
5. D. J. Gross and A. A. Migdal, Phys. Rev. Lett. 64, 127 (1990), doi:10.1103/PhysRevLett.64.127. Crossref, Web of Science, ADS, Google Scholar
6. E. Brezin and V. A. Kazakov, Phys. Lett. B 236, 144 (1990), doi:10.1016/0370-2693(90)90818-Q. Crossref, Web of Science, ADS, Google Scholar
7. E. Marinari and G. Parisi, Phys. Lett. B 247, 537 (1990), doi:10.1016/0370-2693(90)91897-K. Crossref, Web of Science, ADS, Google Scholar
8. S. Nojiri, Phys. Lett. B 253, 63 (1991), doi:10.1016/0370-2693(91)91364-2. Crossref, Web of Science, ADS, Google Scholar
9. S. Nojiri, Phys. Lett. B 252, 561 (1990), doi:10.1016/0370-2693(90)90484-N. Crossref, Web of Science, ADS, Google Scholar
10. S. Nojiri, Mod. Phys. Lett. A 7, 2979 (1992), doi:10.1142/S0217732392002354. Link, Web of Science, ADS, Google Scholar
11. H. K. Janssen, Z. Phys. B 23, 377 (1976), doi:10.1007/BF01316547. Crossref, Web of Science, ADS, Google Scholar
12. N. J. A. Sloane and S. Plouffe, The Encyclopedia of Integer Sequences (Academic Press, 1995). Google Scholar

Journal cover image

Vol. 32, No. 28

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History

Received 27 May 2017

Accepted 25 July 2017

Published: 22 August 2017

Keywords