# Quantum gravity on the lattice

@article{Hamber2009QuantumGO, title={Quantum gravity on the lattice}, author={Herbert W. Hamber}, journal={General Relativity and Gravitation}, year={2009}, volume={41}, pages={817-876} }

I review the lattice approach to quantum gravity, and how it relates to the non-trivial ultraviolet fixed point scenario of the continuum theory. After a brief introduction covering the general problem of ultraviolet divergences in gravity and other non-renormalizable theories, I discuss the general methods and goals of the lattice approach. An underlying theme is the attempt at establishing connections between the continuum renormalization group results, which are mainly based on diagrammatic…

## 86 Citations

Renormalization of lattice-regularized quantum gravity models I. General considerations

- Physics
- 2014

Lattice regularization is a standard technique for the nonperturbative definition of a quantum theory of fields. Several approaches to the construction of a quantum theory of gravity adopt this…

Quantum Gravity: A Fluctuating Point of View

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In this contribution, we discuss the asymptotic safety scenario for quantum gravity with a functional renormalization group approach that disentangles dynamical metric fluctuations from the…

Aspects of quantum gravity

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- 2019

For more than 80 years theoretical physicists have been trying to develop a theory of quantum gravity which would successfully combine the tenets of Einstein's theory of general relativity (GR)…

Gravitational Wilson loop in discrete quantum gravity

- Physics
- 2010

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…

Gauge protected entanglement between gravity and matter

- PhysicsClassical and Quantum Gravity
- 2018

We show that, as a consequence of the local Poincaré symmetry, gravity and matter fields have to be entangled, unless the overall action is carefully fine-tuned. First, we present a general argument,…

Renormalization group flow of coupled tensorial group field theories: Towards the Ising model on random lattices

- PhysicsPhysical Review D
- 2020

We introduce a new family of tensorial field theories by coupling different fields in a nontrivial way, with a view towards the investigation of the coupling between matter and gravity in the quantum…

A note on the vacuum structure of lattice Euclidean quantum gravity: ‘birth’ of macroscopic space-time and PT-symmetry breaking

- Physics
- 2021

It is shown that the ground state or vacuum of the lattice quantum gravity is significantly different from the ground states of the well-known vacua in QED, QCD, et cetera. In the case of the lattice…

Quantum gravity from causal dynamical triangulations: a review

- PhysicsClassical and Quantum Gravity
- 2019

This topical review gives a comprehensive overview and assessment of recent results in causal dynamical triangulations, a modern formulation of lattice gravity, whose aim is to obtain a theory of…

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