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The trace anomaly induced dynamics of the conformal factor is investigated in four-dimensional quantum gravity with torsion. The constraints for the coupling constants of torsion matter interaction are obtained in the infrared stable fixed…

High Energy Physics - Theory · Physics 2009-09-17 I. Antoniadis , S. D. Odintsov

The conformal invariance of unimodular gravity survives quantum corrections, even in the presence of conformal matter. Unimodular gravity can actually be understood as a certain truncation of the full Einstein-Hilbert theory, where in the…

High Energy Physics - Theory · Physics 2015-06-12 Enrique Álvarez , Mario Herrero-Valea

A short introduction is given on the functional renormalization group method, putting emphasis on its nonperturbative aspects. The method enables to find nontrivial fixed points in quantum field theoretic models which make them free from…

High Energy Physics - Theory · Physics 2014-08-15 Sandor Nagy

We review some recent developments in the conformal gravity theory that has been advanced as a candidate alternative to standard Einstein gravity. As a quantum theory the conformal theory is both renormalizable and unitary, with unitarity…

High Energy Physics - Theory · Physics 2015-05-27 Philip D. Mannheim

The asymptotic safety program assumes that quantum gravity becomes renormalizable through ultraviolet fixed points in metric-based couplings. We demonstrate that this approach {encounters fundamental symmetry violations} across multiple…

General Relativity and Quantum Cosmology · Physics 2026-01-15 Farrukh A. Chishtie

We propose a method for the (re)-construction of a regularized functional integral, well defined in the ultraviolet limit, from a solution of the functional renormalization group equation of the effective average action. The functional…

High Energy Physics - Theory · Physics 2011-08-17 Elisa Manrique , Martin Reuter

Einstein-Hilbert action with a determinantal invariant has been considered. The obtained field equation contains the \texttt{inverse Ricci tensor}, $\Re_{\alpha\beta}$. The linearized solution of invariant has been examined, and constant…

General Relativity and Quantum Cosmology · Physics 2016-02-16 Nurettin Pirinccioglu

Motivated by Weinberg's asymptotic safety scenario, we investigate the gravitational renormalization group flow in the Einstein-Hilbert truncation supplemented by the wave-function renormalization of the ghost fields. The latter induces…

High Energy Physics - Theory · Physics 2014-11-20 Kai Groh , Frank Saueressig

The quantum Einstein gravity is treated by the functional renormalization group method using the Einstein-Hilbert action. The ultraviolet non-Gaussian fixed point is determined and its corresponding exponent of the correlation length is…

High Energy Physics - Theory · Physics 2015-06-16 S. Nagy , B. Fazekas , L. Juhasz , K. Sailer

In this essay we marshal evidence suggesting that Einstein gravity may be an emergent phenomenon, one that is not ``fundamental'' but rather is an almost automatic low-energy long-distance consequence of a wide class of theories.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Carlos Barcelo , Matt Visser , Stefano Liberati

We give an alternative description of the physical content of general relativity that does not require a Lorentz invariant spacetime. Instead, we find that gravity admits a dual description in terms of a theory where local size is…

General Relativity and Quantum Cosmology · Physics 2011-03-30 Henrique Gomes , Sean Gryb , Tim Koslowski

We consider a class of Lorentz gauge gravity theories within Riemann-Cartan geometry which admits a topological phase in the gravitational sector. The dynamic content of such theories is determined only by the contortion part of the Lorentz…

General Relativity and Quantum Cosmology · Physics 2012-04-12 D. G. Pak , Youngman Kim , Takuya Tsukioka

We explore whether perturbative interacting fixed points in matter systems can persist under the impact of quantum gravity. We first focus on semi-simple gauge theories and show that the leading order gravity contribution evaluated within…

High Energy Physics - Theory · Physics 2017-10-18 Nicolai Christiansen , Astrid Eichhorn , Aaron Held

We show that the standard notion of entanglement is not defined for gravitationally anomalous two-dimensional theories because they do not admit a local tensor factorization of the Hilbert space into local Hilbert spaces. Qualitatively, the…

High Energy Physics - Theory · Physics 2021-01-12 Simeon Hellerman , Domenico Orlando , Masataka Watanabe

We complement Weinberg's no go theorem on the cosmological constant problem in quantum gravity by generalizing it to the case of a scale-invariant theory. Our analysis makes use of the effective action and the BRST symmetry in a manifestly…

High Energy Physics - Theory · Physics 2018-05-30 Munehiro Nagahama , Ichiro Oda

We complement a recent work on the stability of fixed points of the CMC-Einstein-$\Lambda$ flow. In particular, we modify the utilized gauge for the Einstein equations and remove a restriction on the fixed points whose stability we are able…

General Relativity and Quantum Cosmology · Physics 2018-09-10 David Fajman , Klaus Kroencke

The phase diagram of four-dimensional Einstein-Hilbert gravity is studied using Wilson's renormalization group. Smooth trajectories connecting the ultraviolet fixed point at short distances with attractive infrared fixed points at long…

High Energy Physics - Theory · Physics 2012-09-19 Nicolai Christiansen , Daniel F. Litim , Jan M. Pawlowski , Andreas Rodigast

This thesis investigates the role of the quantum gravity cut-off for effective field theories (EFTs) coupled to Einstein gravity, with an emphasis on its implications at low energies within the context of the Swampland program. Part I…

High Energy Physics - Theory · Physics 2024-09-17 Alberto Castellano

We study the renormalization flow of Hilbert-Palatini gravity to lowest non-trivial order. We find evidence for an asymptotically safe high-energy completion based on the existence of an ultraviolet fixed point similar to the Reuter fixed…

High Energy Physics - Theory · Physics 2023-03-22 Holger Gies , Abdol Sabor Salek

The Wilsonian renormalization group (RG) properties of the conformal factor of the metric are profoundly altered by the fact that it has a wrong-sign kinetic term. The result is a novel perturbative continuum limit for quantum gravity,…

High Energy Physics - Theory · Physics 2020-07-15 Alex Mitchell , Tim R. Morris