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The renormalization group in effective quantum gravity can be consistently formulated using the Vilkovisky and DeWitt version of effective action and assuming a non-zero cosmological constant. Taking into account that the vacuum counterpart…

High Energy Physics - Theory · Physics 2022-11-08 Breno L. Giacchini , Tibério de Paula Netto , Ilya L. Shapiro

Curvature squared terms, when added to the Einstein-Hilbert action and treated non-perturbatively, generically result in the propagation of an extra massive scalar state and an extra massive spin-2 ghost state. Using the Stueckelberg trick,…

High Energy Physics - Theory · Physics 2016-04-27 Kurt Hinterbichler , Mehdi Saravani

This work is dedicated to the study of both large-$N$ and perturbative quantum behaviors of Lifshitz nonlinear sigma models with dynamical critical exponent $z=2$ in 2+1 dimensions. We discuss renormalization and renormalization group…

High Energy Physics - Theory · Physics 2016-07-01 Pedro R. S. Gomes , M. Gomes

We study quantum corrections in four-dimensional theories with $N=1$ supersymmetry in the context of Quantum Gravity Conjectures. According to the Emergent String Conjecture, infinite distance limits in quantum gravity either lead to…

High Energy Physics - Theory · Physics 2021-04-14 Daniel Klaewer , Seung-Joo Lee , Timo Weigand , Max Wiesner

Einstein's equations were derived for a free massless spin-$2$ field using universal coupling in the 1950-70s by various authors; total stress-energy including gravity's served as a source for linear free field equations. A massive variant…

General Relativity and Quantum Cosmology · Physics 2016-06-03 J. Brian Pitts

A proposal for a power-counting renormalizable theory of quantum gravity at a Lifshitz point was recently put forth by Horava (arXiv:0901.3775), and has been since dubbed as Horava-Lifshitz gravity. The theory explicitly breaks Lorentz…

High Energy Physics - Theory · Physics 2009-11-05 Niayesh Afshordi

We consider the branch of the projectable Horava-Lifshitz model which exhibits ghost instabilities in the low energy limit. It turns out that, due to the Lorentz violating structure of the model and to the presence of a finite strong…

High Energy Physics - Theory · Physics 2016-06-29 S. Ramazanov , F. Arroja , M. Celoria , S. Matarrese , L. Pilo

We study the linearized gravity theory in the Newman-Unti gauge in the near horizon region of the de Sitter spacetime. The linearized Einstein equation involves the cosmological constant. The near horizon symmetry consists of near horizon…

High Energy Physics - Theory · Physics 2024-09-04 Pujian Mao , Bochen Zhou

We construct a plethora of new Euclidean AdS-Taub-NUT and bolt solutions of several four- and six-dimensional higher-curvature theories of gravity with various base spaces $\mathcal{B}$. In $D=4$, we consider Einsteinian cubic gravity, for…

High Energy Physics - Theory · Physics 2018-11-14 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Robert B. Mann

Known quantum and classical perturbative long-distance corrections to the Newton potential are extended into the short-distance regime using evolution equations for a `running' gravitational coupling, which is used to construct examples…

General Relativity and Quantum Cosmology · Physics 2021-08-24 Jan Smit

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

Using s-wave and large N approximation the one-loop effective action for 2d dilaton coupled scalars and spinors which are obtained by spherical reduction of 4d minimal matter is found. Quantum effective equations for reduced Einstein…

High Energy Physics - Theory · Physics 2009-09-17 S. Nojiri , O. Obregon , S. D. Odintsov , K. E. Osetrin

A general form for the equation of motion for higher-curvature gravity is obtained. The interesting feature of the analysis is that it can handle Lagrangians which contain non-minimal kinetic scalar couplings. Certain subtle features, which…

General Relativity and Quantum Cosmology · Physics 2015-01-22 Saugata Chatterjee

A gauge theory of quantum gravity is formulated, in which an internal, field dependent metric is introduced which non-linearly realizes the gauge fields on the non-compact group $SL(2,C)$, while linearly realizing them on $SU(2)$.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. W. Moffat

We study a quantum Bianchi type I model in which the dynamical variables of the corresponding minisuperspace obey the generalized Heisenberg algebra. Such a generalized uncertainty principle has its origin in the existence of a minimal…

General Relativity and Quantum Cosmology · Physics 2008-11-26 B. Vakili , H. R. Sepangi

Non-perturbative studies of quantum gravity have recently suggested the possibility that the strength of gravitational interactions might slowly increase with distance. Here a set of generally covariant effective field equations are…

High Energy Physics - Theory · Physics 2011-07-19 Herbert W. Hamber , Ruth M. Williams

Recently Horava proposed a renormalizable gravity theory with higher spatial derivatives in four dimensions which reduces to Einstein gravity with a non-vanishing cosmological constant in IR but with improved UV behaviors. Here, I consider…

High Energy Physics - Theory · Physics 2010-01-15 Mu-in Park

Based on the view that Einstein's theory can be interpreted as a gauge theory of Lorentz group, we decompose the gravitational connection (the gauge potential of Lorentz group) $\vGm_\mu$ into the restricted connection made of the potential…

General Relativity and Quantum Cosmology · Physics 2011-02-18 Y. M. Cho , S. H. Oh , Sang-Woo Kim

In this letter we study the behavior of non-minimally coupled Einstein-Gauss-Bonnet gravity theories with the constant-roll condition. Recalling the results of the striking GW170817 event, we demand that the velocity of the gravitational…

General Relativity and Quantum Cosmology · Physics 2020-11-10 V. K. Oikonomou , F. P. Fronimos

With entropic interpretation of gravity proposed by Verlinde, we obtain the Friedmann equation of the Friedmann-Robertson-Walker universe for the deformed Ho\v{r}ava-Lifshitz gravity. It is shown that, when the parameter of…

High Energy Physics - Theory · Physics 2011-09-23 Shao-Wen Wei , Yu-Xiao Liu , Yong-Qiang Wang
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