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Volume 334 - The 36th Annual International Symposium on Lattice Field Theory (LATTICE2018) - Applications beyond QCD
Lattice quantum gravity with scalar fields
R.G. Jha,* J. Laiho, J. Unmuth-Yockey
*corresponding author
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Published on: 2019 May 29
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.
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