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Related papers: On Unitarity of Massive Gravity in Three Dimension…

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We study the unitarity of models with low scale quantum gravity both in four dimensions and in models with a large extra-dimensional volume. We find that models with low scale quantum gravity have problems with unitarity below the scale at…

High Energy Physics - Phenomenology · Physics 2011-02-09 Michael Atkins , Xavier Calmet

In the present work we find novel Newtonian gravity models in three spacetime dimensions. We first present a Maxwellian version of the extended Newtonian gravity, which is obtained as the non-relativistic limit of a particular…

High Energy Physics - Theory · Physics 2020-11-05 Patrick Concha , Lucrezia Ravera , Evelyn Rodríguez , Gustavo Rubio

We investigate Extended Geometric Trinity of Gravity at both classical and quantum cosmological levels using the minisuperspace approach. Adopting Noether symmetries to select viable models, we examine metric-affine theories of gravity, in…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Emmanuele Battista , Salvatore Capozziello , Stefano Pastore

We consider renormalizability of topologically massive gravity in three space-time dimensions. With a usual parametrization of the metric tensor, we establish the statement that topologically massive gravity is in fact renormalizable. In…

High Energy Physics - Theory · Physics 2009-08-14 Ichiro Oda

In this work we provide a triple master action interpolating among three self-dual descriptions of massive spin-3/2 particles in $D=2+1$ dimensions. Such result generalizes a master action previously suggested in the literature. We also…

High Energy Physics - Theory · Physics 2020-03-09 E. L. Mendonça , H. L. de Oliveira , P. H. F. Nogueira

Both particle physics and the 1890s Seeliger-Neumann modification of Newtonian gravity suggest considering a "mass term" for gravity, yielding a finite range due to an exponentially decaying Yukawa potential. Unlike Nordstr\"{o}m's…

General Relativity and Quantum Cosmology · Physics 2011-02-23 J. Brian Pitts

We advance a class of unitary higher derivative theories of gravity that realize an ultraviolet completion of Einstein general relativity in any dimension. This range of theories is marked by an entire function, which averts extra degrees…

High Energy Physics - Theory · Physics 2014-02-28 Leonardo Modesto

We illustrate the recently proposed generalized unimodular gravity using simple examples of the Friedmann, Kantowski-Sachs and Schwarzschild geometries and show that it can be further generalized and reveal some unexpected and interesting…

General Relativity and Quantum Cosmology · Physics 2020-05-20 A. Yu. Kamenshchik , A. Tronconi , G. Venturi

In the gauge theoretic approach of gravity, General Relativity is described by gauging the symmetry of the tangent manifold in four dimensions. Usually the dimension of the tangent space is considered to be equal to the dimension of the…

High Energy Physics - Theory · Physics 2023-11-16 Spyros Konitopoulos , Danai Roumelioti , George Zoupanos

We develope the analogue of S-duality for linearized gravity in (3+1)-dimensions. Our basic idea is to consider the self-dual (anti-self-dual) curvature tensor for linearized gravity in the context of the Macdowell-Mansouri formalism. We…

High Energy Physics - Theory · Physics 2009-10-31 J. A. Nieto

Between Snyder's quantized space-time model in de Sitter space of momenta and the \dS special relativity on \dS-spacetime of radius $R$ with Beltrami coordinates, there is a one-to-one dual correspondence supported by a minimum…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Han-Ying Guo , Chao-Guang Huang , Yu Tian , Hong-Tu Wu , Zhan Xu , Bin Zhou

We consider constraints on the S-matrix of any gapped, Lorentz invariant quantum field theory in 3+1 dimensions due to crossing symmetry, analyticity and unitarity. We extremize cubic couplings, quartic couplings and scattering lengths…

High Energy Physics - Theory · Physics 2017-08-24 Miguel F. Paulos , Joao Penedones , Jonathan Toledo , Balt C. van Rees , Pedro Vieira

This letter constructs, making use of the on-shell spinor-helicity formalism, a possible ultraviolet completion of gravity following a "bottom-up" approach. The assumptions of locality, unitarity and causality i) require an infinite tower…

High Energy Physics - Phenomenology · Physics 2019-11-20 Rodrigo Alonso , Alfredo Urbano

Four-particle tree-level scattering amplitudes in string theory are magically consistent with unitarity, reflected in the non-trivial fact that beneath the critical dimension, the residues of the amplitudes on massive poles can be expanded…

High Energy Physics - Theory · Physics 2022-03-14 Nima Arkani-Hamed , Lorenz Eberhardt , Yu-tin Huang , Sebastian Mizera

The maximally helicity violating (MHV) tree level scattering amplitudes involving three, four or five gravitons are worked out in Unimodular Gravity. They are found to coincide with the corresponding amplitudes in General Relativity. This a…

High Energy Physics - Theory · Physics 2018-02-15 Enrique Alvarez , Sergio Gonzalez-Martin , Carmelo P. Martin

We propose a new class of conformal higher spin gravities in three dimensions, which extends the one by Pope and Townsend. The main new feature is that there are infinitely many examples of the new theories with a finite number of higher…

High Energy Physics - Theory · Physics 2020-01-29 Maxim Grigoriev , Iva Lovrekovic , Evgeny Skvortsov

General Relativity enjoys the freedom of different geometrical interpretations in terms of curvature, torsion or non-metricity. Within this geometrical trinity, a simpler geometrical formulation of General Relativity manifests itself in the…

General Relativity and Quantum Cosmology · Physics 2020-12-30 Fabio D'Ambrosio , Mudit Garg , Lavinia Heisenberg

The Lense--Thirring spacetime describes a 4-dimensional slowly rotating approximate solution of vacuum Einstein equations valid to a linear order in rotation parameter. It is fully characterized by a single metric function of the…

High Energy Physics - Theory · Physics 2022-04-27 Finnian Gray , Robie A. Hennigar , David Kubiznak , Robert B. Mann , Manu Srivastava

We review (and extend) the analysis of general theories of all interactions (gravity included) where the mass scales are due to dimensional transmutation. Quantum consistency requires the presence of terms in the action with four…

High Energy Physics - Theory · Physics 2021-04-12 Alberto Salvio

Three-dimensional gravity coupled to pressureless dust is a field theory with one local degree of freedom. In the canonical framework, the dust-time gauge encodes this physical degree of freedom as a metric function. We find that the…

General Relativity and Quantum Cosmology · Physics 2016-01-27 Viqar Husain , Shohreh Rahmati , Jonathan Ziprick