Topology changes in (2+1)-dimensional quantum gravity

Yoshihisa Fujiwara, Saburo Higuchi, Akio Hosoya, Takashi Mishima, and Masaru Siino
Phys. Rev. D 44, 1763 – Published 15 September 1991
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Abstract

We study topology-changing processes in (2+1)-dimensional quantum gravity with a negative cosmological constant. By playing the "gluing-many-polyhedra game" for hyperbolic geometry, we explicitly construct an infinite number of different instantonlike solutions. These solutions can be used to evaluate various topology-changing amplitudes in the WKB approximation.

  • Received 7 May 1991

DOI:https://doi.org/10.1103/PhysRevD.44.1763

©1991 American Physical Society

Authors & Affiliations

Yoshihisa Fujiwara, Saburo Higuchi*, Akio Hosoya, Takashi Mishima, and Masaru Siino

  • Department of Physics, Tokyo Institute of Technology, Oh-Okayama Meguro-ku, Tokyo 152, Japan

  • *Electronic address: shiguchi@cc.titech.ac.jp.
  • Electronic address: ahosoya@cc.titech.ac.jp.

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Vol. 44, Iss. 6 — 15 September 1991

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