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Unimodular gravity is classically equivalent to standard Einstein gravity, but differs when it comes to the quantum theory: The conformal factor is non-dynamical, and the gauge symmetry consists of transverse diffeomorphisms only.…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Astrid Eichhorn

We present the manifestly covariant canonical operator formalism of a Weyl invariant (or equivalently, a locally scale invariant) gravity whose classical action consists of the well-known conformal gravity and Weyl invariant scalar-tensor…

High Energy Physics - Theory · Physics 2023-11-17 Ichiro Oda , Misaki Ohta

We show how uncertainty in the causal structure of field theory is essentially inevitable when one includes quantum gravity. This includes the fact that lightcones are ill-defined in such a theory. This effect is small in the effective…

High Energy Physics - Theory · Physics 2021-11-24 John F. Donoghue , Gabriel Menezes

We compute the lowest order gravitational UV divergent radiative corrections to the S matrix element of the $fermion + fermion\rightarrow fermion + fermion$ scattering process in the massive Yukawa theory, coupled either to Unimodular…

High Energy Physics - Theory · Physics 2018-04-18 Sergio Gonzalez-Martin , Carmelo P. Martin

We clarify a point concerning the ultraviolet behaviour of the Quantum Field Theory of gravity, under the assumption of the existence of an ultraviolet Fixed Point. We explain why Newton's constant should to scale like the inverse of the…

High Energy Physics - Theory · Physics 2009-11-10 Roberto Percacci , Daniele Perini

Adding terms quadratic in the curvature to the Einstein-Hilbert action renders gravity renormalizable. This property is preserved in the presence of the most general renormalizable couplings with (and of) a generic quantum field theory…

High Energy Physics - Theory · Physics 2018-08-23 Alberto Salvio

We present the Batalin-Fradkin-Vilkovisky quantization of the quadratic gravity theory, which is the most general theory with terms up to quadratic order in curvature. This approach of quantization is based on the Hamiltonian formulation.…

High Energy Physics - Theory · Physics 2026-05-29 Jorge Bellorin , Claudio Bórquez , Byron Droguett

Einstein's General Relativity (GR) is a dynamical theory of the spacetime metric. We describe an approach in which GR becomes an SU(2) gauge theory. We start at the linearised level and show how a gauge theoretic Lagrangian for…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Kirill Krasnov

We study the Gauss-Bonnet (GB) term as the leading higher-curvature correction to pure Einstein gravity. Assuming a tree-level ultraviolet completion free of ghosts or tachyons, we prove that the GB term has a nonnegative coefficient in…

High Energy Physics - Theory · Physics 2017-02-02 Clifford Cheung , Grant N. Remmen

We employ the curvature expansion of the quantum effective action for gravity-matter systems to construct graviton-mediated scattering amplitudes for non-minimally coupled scalar fields in a Minkowski background. By design, the formalism…

High Energy Physics - Theory · Physics 2020-12-30 Tom Draper , Benjamin Knorr , Chris Ripken , Frank Saueressig

High-energy extensions to General Relativity modify the Einstein-Hilbert action with higher-order curvature corrections and theory-specific coupling constants. The order of these corrections imprints a universal curvature dependence on…

General Relativity and Quantum Cosmology · Physics 2024-12-20 Ethan Payne , Maximiliano Isi , Katerina Chatziioannou , Luis Lehner , Yanbei Chen , Will M. Farr

The gravitational interaction, as described by the Einstein-Cartan theory, is shown to emerge as the by-product of the spontaneous symmetry breaking of a gauge symmetry in a pre-geometric four-dimensional spacetime. Starting from a…

High Energy Physics - Theory · Physics 2025-01-15 Andrea Addazi , Salvatore Capozziello , Antonino Marciano , Giuseppe Meluccio

An ultraviolet complete quantum gravity theory is formulated in which vertex functions in Feynman graphs are entire functions and the propagating graviton is described by a local, causal propagator. The cosmological constant problem is…

General Relativity and Quantum Cosmology · Physics 2011-05-09 J. W. Moffat

In this Letter we derive the gravity field equations by varying the action for an ultraviolet complete quantum gravity. Then we consider the case of a static source term and we determine an exact black hole solution. As a result we find a…

General Relativity and Quantum Cosmology · Physics 2011-02-22 Leonardo Modesto , John W. Moffat , Piero Nicolini

A first step in the analysis of the renormalizability of gravity at Large N is carried on. Suitable resummations of planar diagrams give rise to a theory in which there is only a finite number of primitive superficially divergent Feynman…

High Energy Physics - Theory · Physics 2007-05-23 F. Canfora

Recently Horava proposed a non-relativistic renormalisable theory of gravitation, which reduces to Einstein's general relativity at large distances, and that may provide a candidate for a UV completion of Einstein's theory. In this paper,…

High Energy Physics - Theory · Physics 2009-09-02 H. Lu , Jianwei Mei , C. N. Pope

We consider the role of matter in the non-projectable version of Horava-Liftshitz gravity at both a classical and a quantum level. At the classical level, we construct general forms of matter Lagrangians consistent with the reduced symmetry…

High Energy Physics - Theory · Physics 2015-06-12 Ian Kimpton , Antonio Padilla

We hereby present a class of multidimensional higher derivative theories of gravity that realizes an ultraviolet completion of Einstein general relativity. This class is marked by a "non-polynomal" entire function (form factor), which…

High Energy Physics - Theory · Physics 2013-05-30 Leonardo Modesto

The effective field theory of quantum gravity generically predicts non-locality to be present in the effective action, which results from the low-energy propagation of gravitons and massless matter. Working to second order in gravitational…

High Energy Physics - Theory · Physics 2018-10-17 Xavier Calmet , Basem Kamal El-Menoufi , Boris Latosh , Sonali Mohapatra

We analyze the perturbative implications of the most general high derivative approach to quantum gravity based on a diffeomorphism invariant local action. In particular, we consider the super-renormalizable case with a large number of…

High Energy Physics - Theory · Physics 2009-10-30 M. Asorey , J. L. López , I. L. Shapiro
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