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Quantum-Gravity Path-Integrals on Simplicial Lattices

W. Beirl·E. Gerstenmayer·H. Markum
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Abstract

Euclidean quantum-gravity path-integrals are investigated within Regge calculus by computer simulations. The domain of integration is restricted by introducing a lower limit for the fatness of each simplex. We use the standard hypercubic triangulation of the 4-torus and irregularly triangulated lattices obtained by inserting a small number of vertices using barycentric subdivision. For limited fatness we find an entropy dominated phase with small negative curvature both for the regular and the irregular triangulation.

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W. Beirl, E. Gerstenmayer, H. Markum. 1992-11-10. Quantum-Gravity Path-Integrals on Simplicial Lattices. https://doi.org/10.1016/0083-6656(93)90100-x

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