# The classical entanglement-related entropy and the two-point function of the Lorenz gauge coupling in the ultraviolet

We study the classical entanglement-related entropy (ER) in the vast ultraviolet region of quantum gravity, which is responsible for the entanglement entropy of the classical entanglement of a system in the bulk. We calculate the two-point function of the Lorenz gauge coupling in the limited ultraviolet region of quantum gravity in the presence of a matter vector and a quantum scalar field. The two-point function of the gauge coupling is found to be proportional to the one in the bulk, in good agreement with the one in the bulk. We also find that the large-scale entanglement entropy of quantum gravity is proportional to the one in the bulk, and we find that the large-scale entanglement entropy is proportional to the one in the bulk, in good agreement with the one in the bulk.