We argue that a conformally invariant extension of general relativity coupled to the standard model is the fundamental theory that needs to be quantized. We show that it can be treated by loop quantum gravity techniques. Through a gauge fixing and a modified Higgs mechanism particles acquire mass and one recovers general relativity coupled to the standard model. The theory suggests new views with respect to the definition of the Hamiltonian constraint in loop quantum gravity, the semi-classical limit and the issue of finite renormalization in quantum field theory in quantum space-time. It also gives hints about the elimination of ambiguities that arise in quantum field theory in quantum space-time in the calculation of back-reaction.
Publication Source (Journal or Book title)
Classical and Quantum Gravity
Campiglia, M., Gambini, R., & Pullin, J. (2017). Conformal loop quantum gravity coupled to the standard model. Classical and Quantum Gravity, 34 (2) https://doi.org/10.1088/1361-6382/aa5326