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arXiv · hep-lat/9709099

Common Structures in 2,3 and 4D Simplicial Quantum Gravity

H. S. Egawa·N. Tsuda·T. Yukawa
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Abstract

Two kinds of statistical properties of dynamical-triangulated manifolds (DT mfds) have been investigated. First, the surfaces appearing on the boundaries of 3D DT mfds were investigated. The string-susceptibility exponent of the boundary surfaces ($\tildeγ_{st}$) of 3D DT mfds with $S^{3}$ topology near to the critical point was obtained by means of a MINBU (minimum neck baby universes) analysis; actually, we obtained $\tildeγ_{st} \approx -0.5$. Second, 3 and 4D DT mfds were also investigated by determining the string-susceptibility exponent near to the critical point from measuring the MINBU distributions. As a result, we found a similar behavior of the MINBU distributions in 3 and 4D DT mfds, and obtained $γ_{st}^{(3)} \approx γ_{st}^{(4)} \approx 0$. The existence of common structures in simplicial quantum gravity is also discussed.

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H. S. Egawa, N. Tsuda, T. Yukawa. 1997-09-24. Common Structures in 2,3 and 4D Simplicial Quantum Gravity. https://doi.org/10.1016/s0920-5632(97)00888-8

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