Putting a cap on causality violations in CDT

Abstract

The formalism of causal dynamical triangulations (CDT) provides us with a non-perturbatively defined model of quantum gravity, where the sum over histories includes only causal space-time histories. Path integrals of CDT and their continuum limits have been studied in two, three and four dimensions. Here we investigate a generalization of the two-dimensional CDT model, where the causality constraint is partially lifted by introducing weighted branching points, and demonstrate that the system can be solved analytically in the genus-zero sector.

17 pages, 4 figures

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Cited by in corpus (26)

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• A String Field Theory based on Causal Dynamical Triangulations
• 2d CDT is 2d Horava-Lifshitz quantum gravity
• A Matrix Model for 2D Quantum Gravity defined by Causal Dynamical Triangulations
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• Stochastic quantization and the role of time in quantum gravity
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• Pseudo-topological transitions in 2D gravity models coupled to massless scalar fields
• On the Quantum Geometry of Multi-critical CDT
• Locally Causal Dynamical Triangulations in Two Dimensions
• Quantum Flatness in Two-Dimensional CDT Quantum Gravity
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• A Causal Alternative for c=0 Strings
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• Stochastic Quantization Approach for Causal Dynamical Triangulation String Field Theory
• Proper acceleration, geometric tachyon and dynamics of a fundamental string near D$p$ branes
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• CDT and Horava-Lifshitz QG in Two Dimensions
• Branched polymers with loops coupled to the critical Ising model
• Causal Space-Times on a Null Lattice