Gravitational Wilson Loop in Discrete Quantum Gravity
arXiv:0907.2652 · doi:10.1103/PhysRevD.81.084048
Abstract
Results for the gravitational Wilson loop, in particular the area law for large loops in the strong coupling region, and the argument for an effective positive cosmological constant discussed in a previous paper, are extended to other proposed theories of discrete quantum gravity in the strong coupling limit. We argue that the area law is a generic feature of almost all non-perturbative lattice formulations, for sufficiently strong gravitational coupling. The effects on gravitational Wilson loops of the inclusion of various types of light matter coupled to lattice quantum gravity are discussed as well. One finds that significant modifications to the area law can only arise from extremely light matter particles. The paper ends with some general comments on possible physically observable consequences.
39 pages, 10 figures
References in corpus (9)
- Flipped spinfoam vertex and loop gravity
- Quantum Gravity on the Lattice
- Quasiclassical Coarse Graining and Thermodynamic Entropy
- Particle propagators on discrete spacetime
- Four-point Amplitudes in N=8 Supergravity and Wilson Loops
- Group field theory formulation of 3d quantum gravity coupled to matter fields
- Gravitational Wilson Loop and Large Scale Curvature
- Renormalization Group Running of Newton's G: The Static Isotropic Case
- Constraints on Gravitational Scaling Dimensions from Non-Local Effective Field Equations
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