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Within the effective average action approach to quantum gravity, we recover the low energy effective action as derived in the effective field theory framework, by studying the flow of possibly non-local form factors that appear in the…

High Energy Physics - Theory · Physics 2014-11-21 A. Satz , A. Codello , F. D. Mazzitelli

A quantum gravity computer is one for which the particular effects of quantum gravity are relevant. In general relativity, causal structure is non-fixed. In quantum theory non-fixed quantities are subject to quantum uncertainty. It is…

Quantum Physics · Physics 2015-06-26 Lucien Hardy

The outline of a recent approach to quantum gravity is presented. Novel ingredients include: (1) Affine kinematical variables; (2) Affine coherent states; (3) Projection operator approach toward quantum constraints; (4) Continuous-time…

General Relativity and Quantum Cosmology · Physics 2008-11-26 John R. Klauder

The state of a quantum system acquires a phase factor, called the geometric phase, when taken around a closed trajectory in the parameter space, which depends only on the geometry of the parameter space. Due to its sensitive nature, the…

Quantum Physics · Physics 2022-08-25 Navdeep Arya , Vikash Mittal , Kinjalk Lochan , Sandeep K. Goyal

Treating general relativity as an effective field theory, we compute the leading-order quantum corrections to the orbits and gravitational-wave emission of astrophysical compact binaries. These corrections are independent of the (unknown)…

General Relativity and Quantum Cosmology · Physics 2018-11-28 Alexander C. Jenkins , Andreas G. A. Pithis , Mairi Sakellariadou

The $\mathcal{O}(\partial^2)$ background independent flow equations for conformally reduced gravity are shown to be equivalent to flow equations naturally adapted to scalar field theory with a wrong sign kinetic term. This sign change is…

High Energy Physics - Theory · Physics 2016-12-14 Juergen A. Dietz , Tim R. Morris , Zoe H. Slade

The competition between scrambling unitary evolution and projective measurements leads to a phase transition in the dynamics of quantum entanglement. Here, we demonstrate that the nature of this transition is fundamentally altered by the…

Quantum Physics · Physics 2022-03-25 Maxwell Block , Yimu Bao , Soonwon Choi , Ehud Altman , Norman Yao

Quantum gravity is investigated in the limit of a large number of space-time dimensions, using as an ultraviolet regularization the simplicial lattice path integral formulation. In the weak field limit the appropriate expansion parameter is…

High Energy Physics - Theory · Physics 2008-11-26 Herbert W. Hamber , Ruth M. Williams

The modified gravity with F(R,G) Lagrangian, G is the Gauss-Bonnet invariant, is considered. It is shown that the phantom-divide-line crossing and the deceleration to acceleration transition generally occur in these models. Our results…

General Relativity and Quantum Cosmology · Physics 2009-12-04 M. Alimohammadi , A. Ghalee

We consider the quantum mechanics of Einstein gravity linearised about flat spacetime. The two transverse-traceless components of the metric perturbation are the true physical degrees of freedom. They appear in the quantum theory as free…

General Relativity and Quantum Cosmology · Physics 2020-04-15 James B. Hartle , Kristen Schleich

In this letter recent developments are shown in experimental and theoretical physics which brings into question the validity of General Relativity. This letter emphasizes the construction of a fractal 3+\phi^3 spacetime, in N-dimensions in…

General Physics · Physics 2007-05-23 E. F. Halerewicz

In these lectures we describe how a theory of quantum gravity may be constructed in terms of a lattice formulation based on so-called causal dynamical triangulations (CDT). We discuss how the continuum limit can be obtained and how to…

High Energy Physics - Theory · Physics 2010-07-16 J. Ambjorn , A. Goerlich , J. Jurkiewicz , R. Loll

The role of the conformal factor was analysed in two gauge-invariant perturbative formulations. Using the classical and quantum linearized perturbation approach given by Mukhanov et al \cite{Mukhanov:1990me}, the non-physical behaviour of…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Mónica I. Forte , Carlos E. Laciana

In a previous paper, the authors with Ann Nelson proposed that the UV and IR applicability of effective quantum field theories should be constrained by requiring that strong gravitational effects are nowhere encountered in a theory's domain…

High Energy Physics - Phenomenology · Physics 2021-03-09 Andrew G. Cohen , David B. Kaplan

We formulate quantum gravity in $2+\epsilon$ dimensions in such a way that the conformal mode is explicitly separated. The dynamics of the conformal mode is understood in terms of the oversubtraction due to the one loop counter term. The…

High Energy Physics - Theory · Physics 2009-10-22 Hikaru Kawai , Yoshihisa Kitazawa , Masao Ninomiya

Dynamical triangulations of four-dimensional Euclidean quantum gravity give rise to an interesting, numerically accessible model of quantum gravity. We give a simple introduction to the model and discuss two particularly important issues.…

High Energy Physics - Lattice · Physics 2008-11-26 B. Bruegmann , E. Marinari

We investigate the phase diagram of quantum gravity with a vertex expansion about constantly-curved backgrounds. The graviton two- and three-point function are evaluated with a spectral sum on a sphere. We obtain, for the first time,…

High Energy Physics - Theory · Physics 2019-11-28 Nicolai Christiansen , Kevin Falls , Jan M. Pawlowski , Manuel Reichert

One of several possibilities to construct a quantum theory of gravity is employing the Feynman path integral. This approach is plagued by some problems: the integration measure is not uniquely defined, the Einstein-Hilbert action unbounded,…

High Energy Physics - Lattice · Physics 2008-02-03 J. Riedler

The gravity is classically formulated as the geometric curvature of the space-time in general relativity which is completely different from the other well-known physical forces. Since seeking a quantum framework for the gravity is a great…

High Energy Physics - Theory · Physics 2014-09-29 Cao H. Nam

We establish a well-posedness theory for the f(R) theory of modified gravity, which is a generalization of Einstein's theory of gravitation. The scalar curvature R of the spacetime, which arises in the integrand of the Einstein-Hilbert…

Analysis of PDEs · Mathematics 2014-12-30 Philippe G. LeFloch , Yue Ma
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