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$f(R)$ supergravity is known to contain a ghost mode associated with higher-derivative terms if it contains $R^n$ with $n$ greater than two.We remove the ghost in $f(R)$ supergravity by introducing auxiliary gauge field to absorb the ghost.…

High Energy Physics - Theory · Physics 2018-06-13 Toshiaki Fujimori , Muneto Nitta , Keisuke Ohashi , Yusuke Yamada

In this paper we will consider quantum aspects of a non-local, infinite-derivative scalar field theory - a $\it toy \, model$ depiction of a covariant infinite-derivative, non-local extension of Einstein's general relativity which has…

High Energy Physics - Theory · Physics 2016-09-09 Spyridon Talaganis , Tirthabir Biswas , Anupam Mazumdar

In this report we discuss three aspects: 1) Semiclassical gravity theory (SCG): 4 levels of theories describing the interaction of quantum matter with classical gravity; 2) Alternative Quantum Theories: Discerning those which are derivable…

General Relativity and Quantum Cosmology · Physics 2015-06-18 B. L. Hu

In this paper we will consider the most general quadratic curvature action with infinitely many covariant derivatives of massless gravity in three spacetime dimensions. The action is parity invariant and torsion-free and contains the same…

High Energy Physics - Theory · Physics 2020-05-15 Anupam Mazumdar , Georg Stettinger

Quadratic gravity is a well-motivated extension of general relativity~(GR) wherein the Einstein-Hilbert action is augmented by quadratic curvature terms. This theory is equivalent to GR in an effective-field-theory framework, while the two…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Georgios Antoniou , Leonardo Gualtieri , Paolo Pani

We explain how the lowest-order classical gravitational radiation produced during the inelastic scattering of two Schwarzschild black holes in General Relativity can be obtained from a tree scattering amplitude in gauge theory coupled to…

High Energy Physics - Theory · Physics 2018-04-04 Andrés Luna , Isobel Nicholson , Donal O'Connell , Chris D. White

We explore the properties of a simple renormalizable shift symmetric model with a higher derivative kinetic energy and quartic derivative coupling, that can serve as a toy model for higher derivative theories of gravity. The scattering…

High Energy Physics - Theory · Physics 2024-11-05 Diego Buccio , John F. Donoghue , Roberto Percacci

We give a novel definition of gravitational energy for an arbitrary theory of gravity including quadratic-curvature corrections to Einstein equations. We focus on the theory in four dimensions, in presence of negative cosmological constant,…

High Energy Physics - Theory · Physics 2018-09-12 Gaston Giribet , Olivera Miskovic , Rodrigo Olea , David Rivera-Betancour

In gravity theories derived from a f(R) Lagrangian, matter is usually supposed to be minimally coupled to the metric, which hence defines a ``Jordan frame.'' However, since the field equations are fourth order, gravity possesses an extra…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Nathalie Deruelle , Misao Sasaki , Yuuiti Sendouda

A procedure is considered which upgrades the Lagrangian description of quantum relativistic particles to the Lagrangian of a proper field theory in the case that the Klein-Gordon wave equation is classically interpreted in terms of a…

Astrophysics · Physics 2009-11-10 Pedro F. Gonzalez-Diaz

In this work we shall address the ghost issue of $F\left( R,\mathcal{G} \right)$ gravity, which is known to be plagued with ghost degrees of freedom. These ghosts occur due to the presence of higher than two derivatives in the field…

General Relativity and Quantum Cosmology · Physics 2021-11-19 S. Nojiri , S. D. Odintsov , V. K. Oikonomou , Arkady A. Popov

We investigate features of perturbative gravity and supergravity by studying scattering in the ultraplanckian limit, and sharpen arguments that the dynamics is governed by long-distance physics. A simple example capturing aspects of the…

High Energy Physics - Theory · Physics 2010-12-13 Steven B. Giddings , Maximilian Schmidt-Sommerfeld , Jeppe R. Andersen

We present a unifying treatment of dark energy and modified gravity that allows distinct conformal-disformal couplings of matter species to the gravitational sector. In this very general approach, we derive the conditions to avoid ghost and…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-16 Jérôme Gleyzes , David Langlois , Michele Mancarella , Filippo Vernizzi

We discuss corrections to the ratio of shear viscosity to entropy density $\eta/s$ in higher-derivative gravity theories. Generically, these theories contain ghost modes with Planck-scale masses. Motivated by general considerations about…

High Energy Physics - Theory · Physics 2011-07-26 Ram Brustein , A. J. M. Medved

We consider different deductions of the mysterious Weinberg formula and show that this leads us back to the model of fluctuational cosmology which correctly predicted in advance, dark energy driven, accelerating universe with a small…

General Physics · Physics 2007-05-23 B. G. Sidharth

We add a new scalar field in the no-scale Brans-Dicke gravity and require it to have a global O(2) symmetry with the original scalar field in the Brans-Dicke gravity. This gives us a new massless scalar field in the Einstein frame due to…

High Energy Physics - Phenomenology · Physics 2025-10-31 Muzi Hong , Kyohei Mukaida , Tsutomu T. Yanagida

Infinite derivative theory of gravity is a modification to the general theory of relativity. Such modification maintains the massless graviton as the only true physical degree of freedom and avoids ghosts. Moreover, this class of modified…

General Relativity and Quantum Cosmology · Physics 2018-11-27 Ali Teimouri

Quantum field theory in a semiclassical background can be derived as an approximation to quantum gravity from a weak-coupling expansion in the inverse Planck mass. Such an expansion is studied for evolution on "nice-slices" in the spacetime…

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

We systematically explore the spectrum of gravitational perturbations in codimension-1 DGP braneworlds, and find a 4D ghost on the self-accelerating branch of solutions. The ghost appears for any value of the brane tension, although…

High Energy Physics - Theory · Physics 2009-11-11 Christos Charmousis , Ruth Gregory , Nemanja Kaloper , Antonio Padilla

In this paper we establish the correspondence between ghost-free bimetric theory and a class of higher derivative gravity actions, including conformal gravity and New Massive Gravity. We also characterize the relation between the respective…

High Energy Physics - Theory · Physics 2015-07-24 S. F. Hassan , Angnis Schmidt-May , Mikael von Strauss