Lattice quantum gravity with scalar fields

Abstract

We consider the four-dimensional Euclidean dynamical triangulations lattice model of quantum gravity based on triangulations of $S^4$. We couple it minimally to a scalar field in the quenched approximation. Our results suggest a multiplicative renormalization for the mass of the scalar field which is consistent with the shift symmetry of the discretized lattice action. We discuss the possibility of measuring the mass anomalous dimension and the gravitational binding energy between two scalar test particles, where a negative bound state energy would imply that this model has an attractive gravitational force.

1+6 pages, proceedings for the 36th International Symposium on Lattice Field Theory (22-28 July 2018). v2 -- Added one reference and fixed a typo. Comments welcome !

References in corpus (3)

• Lattice Quantum Gravity and Asymptotic Safety
• A pedagogical explanation for the non-renormalizability of gravity
• Evidence for Asymptotic Safety from Dimensional Reduction in Causal Dynamical Triangulations

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• Predictive power of grand unification from quantum gravity
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• Newtonian Binding from Lattice Quantum Gravity
• Shift-symmetric Horndeski gravity in the asymptotic-safety paradigm
• The weak-gravity bound and the need for spin in asymptotically safe matter-gravity models
• Models of Discrete Linear Evolution for Quantum Systems
• Three models of non-perturbative quantum-gravitational binding
• Discrete Linear Canonical Evolution