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The causal dynamical triangulations approach aims to construct a quantum theory of gravity as the continuum limit of a lattice-regularized model of dynamical geometry. A renormalization group scheme--in concert with finite size scaling…

General Relativity and Quantum Cosmology · Physics 2016-03-09 Joshua H. Cooperman

Recent work by physicists on gravity in two dimensions has a natural generalization to four dimensions, formulated in terms of an analogue of Segal's category [defined for the study of conformal field theory].

Quantum Algebra · Mathematics 2007-05-23 Jack Morava

We formulate noncommutative three-dimensional (3d) gravity by making use of its connection with 3d Chern-Simons theory. In the Euclidean sector, we consider the particular example of topology $T^2 \times R$ and show that the 3d black hole…

High Energy Physics - Theory · Physics 2009-08-13 M. Banados , O. Chandia , N. Grandi , F. A. Schaposnik , G. A. Silva

A classical two dimensional theory of gravity which has a number of interesting features (including a Newtonian limit, black holes and gravitational collapse) is quantized using conformal field theoretic techniques. The critical dimension…

High Energy Physics - Theory · Physics 2009-10-22 R. B. Mann

We investigate the presence of instabilities in the Cascading DGP model. We start by discussing the problem of the cosmological late time acceleration, and we introduce the modified gravity approach. We then focus on brane induced gravity…

High Energy Physics - Theory · Physics 2018-05-18 Fulvio Sbisà

The properties of an extension of the New Massive 3D Gravity by scalar matter with Higgs-like self-interaction are investigated. Its perturbative unitarity consistency is verified for a family of cosmological Bounce solutions found by the…

High Energy Physics - Theory · Physics 2015-05-18 H. L. C. Louzada , U. Camara dS , G. M. Sotkov

We discuss linearized gravity from the point of view of a gauge theory. In (3+1)-dimensions our analysis allows to consider linearized gravity in the context of the MacDowell-Mansouri formalism. Our observations may be of particular…

High Energy Physics - Theory · Physics 2009-11-10 J. A. Nieto

A gravity-driven mechanism (``objective reduction'') proposed to explain quantum state reduction is analyzed in light of the possible existence of large extra dimensions in the ADD scenario. By calculating order-of-magnitude estimates for…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. R. Mureika

We introduce a novel reformulation of three-dimensional gravity in terms of divergenceless vector frames, inspired by the double copy for Chern-Simons theory. This formulation is on-shell equivalent to conventional 3D gravity and provides a…

High Energy Physics - Theory · Physics 2026-03-31 Maor Ben-Shahar , Francesco Bonechi , Maxim Zabzine

In this article we study two related models of quantum geometry: generic random trees and two-dimensional causal triangulations. The Hausdorff and spectral dimensions that arise in these models are calculated and their relationship with the…

High Energy Physics - Theory · Physics 2022-11-29 Bergfinnur Durhuus , Thordur Jonsson , John Wheater

We present a model of non-relativistic gravitational theory which is power-counting renormalizable in 3+1 dimensional spacetime. When applied to cosmology, the relativity-violation terms lead to a dark radiation component, which can give…

High Energy Physics - Theory · Physics 2009-11-13 Yi-Fu Cai , Emmanuel N. Saridakis

We propose new massive gravity theories with 5 dynamical degrees of freedom. We evade uniqueness theorems regarding the form of the kinetic and potential terms by adopting the "generalized massive gravity" framework, where a global…

General Relativity and Quantum Cosmology · Physics 2020-07-01 A. Emir Gumrukcuoglu , Rampei Kimura , Kazuya Koyama

A particular higher-derivative extension of the Einstein-Hilbert action in three spacetime dimensions is shown to be equivalent at the linearized level to the (unitary) Pauli-Fierz action for a massive spin-2 field. A more general model,…

High Energy Physics - Theory · Physics 2009-07-10 Eric A. Bergshoeff , Olaf Hohm , Paul K. Townsend

The complete structure of curvature squared terms is analyzed in the context of chirally extended supergravity, with special emphasis on the gravitationally induced Fayet-Iliopoulos D--term. Coupling of (chiral) matter is discussed in…

High Energy Physics - Theory · Physics 2011-09-13 Regis Le Du

A relation between the MacDowell-Mansouri theory of gravity and the Pontrjagin toplogical invariant in $(3+1)$ dimensions is discussed. This relation may be of especial interest in the quest of finding a mechanism to go from non-dynamical…

High Energy Physics - Theory · Physics 2009-07-22 M. Medina , J. A. Nieto

The structure of counterterms in higher derivative quantum gravity is reexamined. Nontrivial dependence of charges on the gauge and parametrization is established. Explicit calculations of two-loop contributions are carried out with the…

High Energy Physics - Theory · Physics 2011-04-12 Kirill. A. Kazakov , Petr. I. Pronin

Inspired by possible connections between gravity and foundational question in quantum theory, we consider an approach for the adaptation of objective collapse models to a general relativistic context. We apply these ideas to a list of open…

General Relativity and Quantum Cosmology · Physics 2017-01-12 Elias Okon , Daniel Sudarsky

We construct N=1 supergravity extensions of scalar field theories with higher-derivative kinetic terms. Special attention is paid to the auxiliary fields, whose elimination leads not only to corrections to the kinetic terms, but to new…

High Energy Physics - Theory · Physics 2012-12-12 Michael Koehn , Jean-Luc Lehners , Burt A. Ovrut

The status of multifractional theories is reviewed using comparative tables. Theoretical foundations, classical matter and gravity dynamics, cosmology and experimental constraints are summarized and the application of the multifractional…

High Energy Physics - Theory · Physics 2021-08-16 Gianluca Calcagni

We review higher-dimensional unified theories from the general relativity, rather than the particle physics side. Three distinct approaches to the subject are identified and contrasted: compactified, projective and noncompactified. We…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. M. Overduin , P. S. Wesson
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