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We show that the effective field equations for a recently formulated polynomial affine model of gravity, in the sector of a torsion-free connection, accept general Einstein manifolds---with or without cosmological constant---as solutions.…

General Relativity and Quantum Cosmology · Physics 2019-02-26 Oscar Castillo-Felisola

We analyze constraints from perturbative unitarity and crossing on the leading contributions of higher-dimension operators to the four-graviton amplitude in four spacetime dimensions, including constraints that follow from distinct helicity…

High Energy Physics - Theory · Physics 2022-05-03 Zvi Bern , Dimitrios Kosmopoulos , Alexander Zhiboedov

We derive bounds on Wilson coefficients in gravitational effective field theories using fully crossing symmetric dispersion relations. These sum rules naturally isolate finite subsets of low-energy couplings without relying on the forward…

High Energy Physics - Theory · Physics 2026-05-26 Celina Pasiecznik

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

In this paper, analytical solutions describing static and spherically symmetric sources in the decoupling limit of massive gravity are derived. We analyze the model parameter range and specify when a Vainshtein mechanism is possible.…

General Relativity and Quantum Cosmology · Physics 2011-11-28 Stefan Sjors , Edvard Mortsell

We show that that four dimensional conformal gravity plus a simple Neumann boundary condition can be used to get the semiclassical (or tree level) wavefunction of the universe of four dimensional asymptotically de-Sitter or Euclidean…

High Energy Physics - Theory · Physics 2011-06-10 Juan Maldacena

Aspects of super-planckian gravitational scattering and black hole formation are investigated, largely via a partial-wave representation. At large and decreasing impact parameters, amplitudes are expected to be governed by single graviton…

High Energy Physics - Theory · Physics 2008-11-26 Steven B. Giddings , Mark Srednicki

Scattering amplitudes in $d+2$ dimensions can be expressed in terms of a conformal basis, for which the S-matrix behaves as a CFT correlation function on the celestial $d$-sphere. We explain how compact expressions for the full tree-level…

High Energy Physics - Theory · Physics 2020-01-08 Tim Adamo , Lionel Mason , Atul Sharma

The five-point amplitude for the scattering of two distinct scalars with the emission of one graviton in the final state is calculated in exact kinematics for Einstein-Hilbert gravity. The result, which satisfies the Steinmann relations, is…

High Energy Physics - Theory · Physics 2015-06-03 Agustin Sabio Vera , Eduardo Serna Campillo , Miguel A. Vazquez-Mozo

We propose a new theory of massive gravity with only two propagating degrees of freedom. After defining the theory in the unitary gauge in the vielbein language, we shall perform a Hamiltonian analysis to count the number of physical…

High Energy Physics - Theory · Physics 2015-12-17 Antonio De Felice , Shinji Mukohyama

We present the amplitude for classical scattering of gravitationally interacting massive scalars at third post-Minkowskian order. Our approach harnesses powerful tools from the modern amplitudes program such as generalized unitarity and the…

High Energy Physics - Theory · Physics 2019-05-29 Zvi Bern , Clifford Cheung , Radu Roiban , Chia-Hsien Shen , Mikhail P. Solon , Mao Zeng

We compute the graviton-mediated two-to-two scattering amplitude and cross section for scalar particles in asymptotically safe quantum gravity. Specifically, we compute the full momentum dependence of the scalar-graviton three-point…

High Energy Physics - Theory · Physics 2026-03-12 Angelo P. Chiesa , Jan M. Pawlowski , Manuel Reichert

We present a new quasidilaton theory of Poincare invariant massive gravity, based on the recently proposed framework of matter coupling that makes it possible for the kinetic energy of the quasidilaton scalar to couple to both physical and…

High Energy Physics - Theory · Physics 2015-06-23 Shinji Mukohyama

The low energy scattering of gravitons from a composite extended system, which is made of classical massive bodies, is considered; by using the Feynman rules of effective quantum gravity, the corresponding cross-section is computed to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 E. Guadagnini

A gravity theory is developed with the metric ${\hat g}_{\mu\nu}= {g}_{\mu\nu}+B\partial_\mu\phi\partial_\nu\phi$. In the present universe the additional contribution from the scalar field in the metric ${\hat g}_{\mu\nu}$ can generate an…

General Relativity and Quantum Cosmology · Physics 2009-10-31 M. A. Clayton , J. W. Moffat

Scattering amplitudes are both a wonderful playground to discover novel ideas in Quantum Field Theory and simultaneously of immense phenomenological importance to make precision predictions for e.g.~particle collider observables and more…

High Energy Physics - Theory · Physics 2023-02-24 Enrico Herrmann , Jaroslav Trnka

Motivated by potential applications to holography on space-times of positive curvature, and by the successful twistor description of scattering amplitudes, we propose a new dual matrix formulation of N = 4 gauge theory on S(4). The matrix…

High Energy Physics - Theory · Physics 2015-03-19 Jonathan J. Heckman , Herman Verlinde

The phenomenological consequences of unification of Einstein gravity and electromagnetism in an early phase of a Machian universe with a very small and uniform electrical charge density $\rho_q$ are explored. A form of the Strong…

General Relativity and Quantum Cosmology · Physics 2015-02-13 Partha Ghose

We propose a nonlocal field theory for gravity in presence of matter consistent with perturbative unitarity, quantum finiteness, and other essential classical properties that we are going to list below. First, the theory exactly reproduces…

General Relativity and Quantum Cosmology · Physics 2021-03-09 Leonardo Modesto

We examine the role of consistency with causality and quantum mechanics in determining the properties of gravitation. We begin by examining two different classes of interacting theories of massless spin 2 particles -- gravitons. One…

High Energy Physics - Theory · Physics 2020-12-24 Mark P. Hertzberg