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Unimodular gravity is classically equivalent to standard Einstein gravity, but differs when it comes to the quantum theory: The conformal factor is non-dynamical, and the gauge symmetry consists of transverse diffeomorphisms only.…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Astrid Eichhorn

We discuss the possible appearance of several rather exotic phenomena in quantum gravity, including UV/IR mixing, novel modifications of infrared phenomenology that extend effective field theory approaches, and the relaxation of the usual…

High Energy Physics - Theory · Physics 2022-02-15 Per Berglund , Laurent Freidel , Tristan Hubsch , Jerzy Kowalski-Glikman , Robert G. Leigh , David Mattingly , Djordje Minic

We study quantum gravity in more than four dimensions by means of an exact functional flow. A non-trivial ultraviolet fixed point is found in the Einstein-Hilbert theory. It is shown that our results for the fixed point and universal…

High Energy Physics - Theory · Physics 2009-11-11 Peter Fischer , Daniel F. Litim

We use the amplitude-based resummation of Feynman`s formulation of Einstein`s theory to arrive at a UV finite approach to quantum gravity. We show that we recover the UV fixed point recently claimed by the exact field-space renormalization…

High Energy Physics - Phenomenology · Physics 2013-02-05 B. F. L. Ward

A scale--dependent effective action for gravity is introduced and an exact nonperturbative evolution equation is derived which governs its renormalization group flow. It is invariant under general coordinate transformations and satisfies…

High Energy Physics - Theory · Physics 2009-10-30 M. Reuter

Real-Space renormalization group techniques are developed for tackling large curvature fluctuations in quantum gravity. Within cells of invariant volume $a^4$, only certain types of fluctuations are allowed. Normal coordinates are used to…

High Energy Physics - Theory · Physics 2016-10-21 H. S. Sharatchandra

If the metric is chosen to depend exponentially on the conformal factor, and if one works in a gauge where the conformal factor has the wrong sign propagator, perturbative quantum gravity corrections can be partially resummed into a series…

High Energy Physics - Theory · Physics 2024-09-04 Tim R. Morris

A recently conjectured relashionship between UV and IR cutoffs in an effective field theory without quantum gravity is generalized in the presence of large extra dimensions. Estimates for the corrections to the usual calculation of…

High Energy Physics - Phenomenology · Physics 2009-10-31 José Luis Cortés

It is shown that if a metric in quantum gravity can be decomposed as a sum of classical and quantum parts then Einstein quantum gravity looks approximately like modified gravity with a nonminimal interaction between gravity and matter.

General Relativity and Quantum Cosmology · Physics 2014-02-07 Vladimir Dzhunushaliev , Vladimir Folomeev , Burkhard Kleihaus , Jutta Kunz

Scaling solutions for the effective action in dilaton quantum gravity are investigated within the functional renormalization group approach. We find numerical solutions that connect ultraviolet and infrared fixed points as the ratio between…

High Energy Physics - Theory · Physics 2017-02-01 Tobias Henz , Jan Martin Pawlowski , Christof Wetterich

We propose a phenomenological approach to the cosmological constant problem based on generally covariant non-local and acausal modifications of four-dimensional gravity at enormous distances. The effective Newton constant becomes very small…

High Energy Physics - Theory · Physics 2007-05-23 Nima Arkani-Hamed , Savas Dimopoulos , Gia Dvali , Gregory Gabadadze

The nonperturbative renormalization group flow of Quantum Einstein Gravity (QEG) is reviewed. It is argued that there could be strong renormalization effects at large distances, in particular a scale dependent Newton constant, which mimic…

Astrophysics · Physics 2007-05-23 M. Reuter , H. Weyer

We describe a functional renormalization group-based method to search for `$C$-like' functions with properties similar to that in 2D conformal field theory. It exploits the mode counting properties of the effective average action and is…

High Energy Physics - Theory · Physics 2015-02-12 Daniel Becker , Martin Reuter

A Lagrange multiplier field restricts the quantum corrections to the Einstein-Hilbert action at one-loop order, yielding a model that is renormalizable and unitary while reproducing the Einstein field equations in the classical limit.

High Energy Physics - Theory · Physics 2026-05-19 D. G. C. McKeon , F. T. Brandt , J. Frenkel , S. Martins-Filho

Gravity is derived from an entropic action coupling matter fields with geometry. The fundamental idea is to relate the metric of Lorentzian spacetime to a quantum operator, playing the role of an renormalizable effective density matrix and…

General Relativity and Quantum Cosmology · Physics 2025-03-20 Ginestra Bianconi

In this paper, a careful treatment of extraction of the Hilbert space and constraints from the formal functional integral with the Einstein-Hilbert action is given. The diffeomorphism inavariant measure is worked out using the metric of…

High Energy Physics - Theory · Physics 2018-06-19 H. S. Sharatchandra

The quantum contributions to the gravitational action are relatively easy to calculate in the higher derivative sector of the theory. However, the applications to the post-inflationary cosmology and astrophysics require the corrections to…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Julio C. Fabris , Paulo L. C. de Oliveira , Davi C. Rodrigues , Ilya L. Shapiro , A. M. Velasquez-Toribio

We study two--loop renormalization in $(2+\epsilon)$--dimensional quantum gravity. As a first step towards the full calculation, we concentrate on the divergences which are proportional to the number of matter fields. We calculate the…

High Energy Physics - Theory · Physics 2016-09-06 Toshiaki Aida , Yoshihisa Kitazawa , Jun Nishimura , Asato Tsuchiya

We study the renormalizability of quantum gravity near two dimensions. Our formalism starts with the tree action which is invariant under the volume preserving diffeomorphism. We identify the BRS invariance which originates from the full…

High Energy Physics - Theory · Physics 2009-10-28 H. Kawai , Y. Kitazawa , M. Ninomiya

We revisit the holographic renormalization group (RG) setting in which a 4-dimensional ($4d$) quantum field theory at a finite cutoff corresponds to/is described by the Einstein gravity on a part of AdS$_{5}$ space, cutoff at a finite…

High Energy Physics - Theory · Physics 2025-08-26 H. Adami , M. M. Sheikh-Jabbari , V. Taghiloo