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Higher-spin symmetry is known to mix lower-spin fields with higher-spin fields, creating a complex interaction picture where no closed finite field sector is expected to exist for dimensions greater than three. By studying the self-dual…

High Energy Physics - Theory · Physics 2026-05-13 V. E. Didenko , A. V. Korybut

We construct four-dimensional covariant non-linear theories of massive gravity which are ghost-free in the decoupling limit to all orders. These theories resum explicitly all the nonlinear terms of an effective field theory of massive…

High Energy Physics - Theory · Physics 2011-07-25 Claudia de Rham , Gregory Gabadadze , Andrew J. Tolley

We disprove the widespread belief that higher order curvature theories of gravity in the metric-affine formalism are generally ghost-free. This is clarified by considering a sub-class of theories constructed only with the Ricci tensor and…

General Relativity and Quantum Cosmology · Physics 2019-08-21 Jose Beltrán Jiménez , Adria Delhom

The inclusion of higher derivatives is a necessary condition for a renormalizable or superrenormalizable local theory of quantum gravity. On the other hand, higher derivatives lead to classical instabilities and a loss of unitarity at the…

High Energy Physics - Theory · Physics 2025-11-20 Manuel Asorey , Gastão Krein , Miguel Pardina , Ilya L. Shapiro

We investigate the coupling between a Galileon scalar field and massive gravity through composite metrics. We derive the full set of equations of motion for a flat Friedmann-Robertson-Walker background, and study linear perturbations around…

High Energy Physics - Theory · Physics 2015-09-04 Xian Gao , Daisuke Yoshida

The mass of the graviton can be generated using a Brout-Englert-Higgs mechanism with four scalar fields. We show that when one of these fields is costrained as in mimetic gravity, the massive gravity obtained is ghost free and consistent.…

High Energy Physics - Theory · Physics 2018-06-13 Ali H. Chamseddine , Viatcheslav Mukhanov

The objective of this thesis is to present a viable extension of general relativity free from cosmological singularities. A viable cosmology, in this sense, is one that is free from ghosts, tachyons or exotic matter, while staying true to…

General Relativity and Quantum Cosmology · Physics 2017-04-25 Aindriú Conroy

We study the number of propagating degrees of freedom, at non-linear order, in torsion gravity theories, a class of modified theories of gravity that include a propagating torsion in addition to the metric. We focus on a three-parameter…

General Relativity and Quantum Cosmology · Physics 2025-01-23 Thibault Damour , Tamanna Jain

We consider massive higher-spin multiplets coupled to quantum gravity and compute their contributions to the gravitational beta functions at one loop. Such theories, if quantized with the Feynman prescription, would contain ghosts. Instead,…

High Energy Physics - Theory · Physics 2022-02-15 Marco Piva

Lorentz invariant derivative interactions for a single spin-2 field are investigated, up to the cubic order. We start from the most general Lorentz invariant terms involving two spacetime derivatives, which are polynomials in the spin-2…

High Energy Physics - Theory · Physics 2014-09-17 Xian Gao

We compute the one-loop quantum corrections to the interactions between the two metrics of the ghost-free massive bigravity. When considering gravitons running in the loops, we show how the structure of the interactions gets destabilized at…

High Energy Physics - Theory · Physics 2015-05-20 Lavinia Heisenberg

We study the theory and phenomenology of massive spin-2 fields during the inflation with nonzero background chemical potential, and extend the cosmological collider physics to tensor modes. We identify a unique dimension-5 and…

High Energy Physics - Phenomenology · Physics 2022-11-23 Xi Tong , Zhong-Zhi Xianyu

We consider the full effective theory for quantum gravity at second order in curvature including non-local terms. We show that the theory contains two new degrees of freedom beyond the massless graviton: namely a massive spin-2 ghost and a…

High Energy Physics - Theory · Physics 2017-10-11 Xavier Calmet , Salvatore Capozziello , Daniel Pryer

The linear theory of massive spin-two field in arbitrary curved background is investigated. In flat spacetime, the Fierz-Pauli model is well-known as the unique linear theory describing the massive spin-two field. On the other hand, in…

High Energy Physics - Theory · Physics 2018-10-05 Satoshi Akagi

We study the gravitational field of ultrarelativistic spinning objects (gyratons) in a modified gravity theory with higher derivatives. In particular, we focus on a special class of such theories with an infinite number of derivatives known…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Jens Boos , Jose Pinedo Soto , Valeri P. Frolov

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

The possibility of matter coupling to two metrics at once is considered. This appears natural in the most general ghost-free, bimetric theory of gravity, where it unlocks an additional symmetry with respect to the exchange of the metrics.…

General Relativity and Quantum Cosmology · Physics 2015-11-10 Yashar Akrami , Tomi S. Koivisto , Adam R. Solomon

We consider the double copy of massive Yang-Mills theory in four dimensions, whose decoupling limit is a nonlinear sigma model. The latter may be regarded as the leading terms in the low energy effective theory of a heavy Higgs model, in…

High Energy Physics - Theory · Physics 2021-09-09 Arshia Momeni , Justinas Rumbutis , Andrew J. Tolley

An extension of the bimetric theory of gravity is considered that includes quadratic Ricci curvature terms associated with each metric. The issue of the Boulware-Deser ghost is analyzed. The Hamiltonian constraint is derived and the…

General Relativity and Quantum Cosmology · Physics 2025-01-23 Ioannis D. Gialamas , Kyriakos Tamvakis

We derive new positivity bounds at finite momentum transfer, assuming a large separation between the mass $m$ of the lightest particle in the effective theory and the mass gap $M$ to new heavy states. Massive gravity parametrically violates…

High Energy Physics - Theory · Physics 2024-02-06 Brando Bellazzini , Giulia Isabella , Sergio Ricossa , Francesco Riva