Regge gravity on general triangulations

Abstract

We investigate quantum gravity in four dimensions using the Regge approach on triangulations of the four-torus with general, non-regular incidence matrices. We find that the simplicial lattice tends to develop spikes for vertices with low coordination numbers even for vanishing gravitational coupling. Different to the regular, hypercubic lattices almost exclusively used in previous studies, we find now that the observables depend on the measure. Computations with nonvanishing gravitational coupling still reveal the existence of a region with well-defined expectation values. However, the phase structure depends on the triangulation. Even with additional higher- order terms in the action the critical behavior of the system changes with varying (local) coordination numbers.

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References in corpus (2)

• The Well-Defined Phase of Simplicial Quantum Gravity in Four Dimensions
• Gravitational Action Versus Entropy on Simplicial Lattices in Four Dimensions

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• Phase diagram of Regge quantum gravity coupled to SU(2) gauge theory
• Lattice Quantum Gravity: Review and Recent Developments
• Z_2-Regge versus Standard Regge Calculus in two dimensions