Work

Path integral measure and RG equations for gravity

Year: 2025

Type: article

Abstract: Considering the Einstein-Hilbert truncation for the running action in (Euclidean) quantum gravity, we derive the renormalization group equations for the cosmological and Newton constant. We find that these equations admit only the Gaussian fixed point with a UV-attractive and a UV-repulsive eigendirection, and that there is no sign of the nontrivial UV-attractive fixed point of the asymptotic safety scenario. Crucial to our analysis is a careful treatment of the measure in the path integral that defines the running action and a proper introduction of the physical running scale k . We also show why and how in usual implementations of the RG equations the aforementioned UV-attractive fixed point is generated.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/wqv2-j5dt

Authors: Carlo Branchina, Vincenzo Branchina, Filippo Contino, Arcangelo Pernace

Institutions: Istituto Nazionale di Fisica Nucleare, Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Cosenza, University of Calabria, University of Catania, Istituto Nazionale di Fisica Nucleare, Sezione di Catania

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: European Commission, Ministero dell'Università e della Ricerca, NextGenerationEU

Awards: G6931409086, G972786147, G973128541