Simulations of four-dimensional simplicial quantum gravity
Oct, 199126 pages
Published in:
- Mod.Phys.Lett.A 7 (1992) 1039-1062
Report number:
- PUPT-1287
Citations per year
Abstract: (WSP)
Four-Dimensional Simplicial Quantum Gravity is simulated using the dynamical triangulation approach. We studied simplicial manifolds of spherical topology and found the critical line for the cosmological constant as a function of the gravitational one, separating the phases of opened and closed Universe. When the bare cosmological constant approaches this line from above, the four-volume grows: we reached about 5×104 simplexes, which proved to be sufficient for the statistical limit of infinite volume. However, for the genuine continuum theory of gravity, the parameters of the lattice model should be further adjusted to reach the second order phase transition point, where the correlation length grows to infinity. We varied the gravitational constant, and we found the first order phase transition, similar to the one found in three-dimensional model, except in 4D the fluctuations are rather large at the transition point, so that this is close to the second order phase transition. The average curvature in cu...- quantum gravity: simplex
- path integral: Euclidean
- dimension: >2
- fractal
- critical phenomena
- numerical calculations: Monte Carlo
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