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Theories of massive gravity inevitably include an auxiliary reference metric. Generically, they also contain an inconsistency known as the Boulware-Deser ghost. Recently, a family of non-linear massive gravity actions, formulated with a…

High Energy Physics - Theory · Physics 2015-05-30 S. F. Hassan , Rachel A. Rosen , Angnis Schmidt-May

The quadratic theory of gravity is the unique renormalizable theory of quantum gravity in 4 dimensions, as proved by K. S. Stelle in 1977. Over the decades, the theory has been understood to contain a massive tensor ghost, and several…

High Energy Physics - Theory · Physics 2026-03-30 K. Sravan Kumar , João Marto

We study the renormalizable quantum gravity formulated as a perturbed theory from conformal field theory (CFT) on the basis of conformal gravity in four dimensions. The conformal mode in the metric field is managed non-perturbatively…

High Energy Physics - Theory · Physics 2009-11-10 Ken-ji Hamada

We present a new understanding of the unstable ghost-like resonance which appears in theories such as quadratic gravity and Lee-Wick type theories. Quantum corrections make this resonance unstable, such that it does not appear in the…

High Energy Physics - Theory · Physics 2019-11-20 John F. Donoghue , Gabriel Menezes

The enforcement of the unimodularity condition in a gravity theory by means of a Lagrange multiplier leads, in general, to inconsistencies upon quantization. This is so, in particular, when the classic linear splitting of the metric between…

High Energy Physics - Theory · Physics 2023-09-29 David Garcia-Lopez , Carmelo P. Martin

The unfree gauge symmetry implies that gauge variation of the action functional vanishes provided for the gauge parameters are restricted by the differential equations. The unfree gauge symmetry is shown to lead to the global conserved…

High Energy Physics - Theory · Physics 2021-12-14 V. A. Abakumova , I. Yu. Karataeva , S. L. Lyakhovich

Various gravity theories beyond general relativity have been rigorously investigated in the literature such as Horndeski and degenerate higher-order scalar-tensor (DHOST) theories. In general, numerous model parameters are involved in such…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-04 Sora Yamashita , Takahiko Matsubara , Tomo Takahashi , Daisuke Yamauchi

Albert Einstein's General Relativity (GR) from 1916 has become the widely accepted theory of gravity and been tested observationally to a very high precision at different scales of energy and distance. At the same time, there still remain…

General Relativity and Quantum Cosmology · Physics 2016-12-09 L. Buoninfante

We consider (effective) Quantum General Relativity coupled to the Standard Model (QGR-SM) and clarify whether graviton-ghosts couple to matter particles. To this end, we examine the corresponding BRST and anti-BRST symmetries, which are…

High Energy Physics - Theory · Physics 2025-11-25 David Prinz

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

We investigate the problems of ghosts and stability in the framework of asymptotical safe theory of gravity in the Minkowski background. Within one loop corrections, we obtain explicitly the constraints on the coupling parameters. Applying…

General Relativity and Quantum Cosmology · Physics 2010-12-06 Changjun Gao , Anzhong Wang

Ghosts have been a stumbling block in the development of a UV complete quantum field theory for gravity. We discuss how difficulties associated with ghosts are overcome in the context of 0+1d QFT. Obtaining a probability interpretation is…

High Energy Physics - Theory · Physics 2024-09-30 Bob Holdom

We formulate the effective field theory (EFT) of vector-tensor gravity for perturbations around an arbitrary background with a ${\it timelike}$ vector profile, which can be applied to study black hole perturbations. The vector profile…

High Energy Physics - Theory · Physics 2024-03-08 Katsuki Aoki , Mohammad Ali Gorji , Shinji Mukohyama , Kazufumi Takahashi , Vicharit Yingcharoenrat

Scalars are widely used in cosmology to model novel phenomena such as the late-time cosmic acceleration. These are effective field theories with highly nonlinear interactions, including Horndeski theory/generalized galileon and beyond. We…

High Energy Physics - Theory · Physics 2023-11-15 Hao Xu , Shuang-Yong Zhou

In this paper we use the AdS/CFT correspondence to refine and then establish a set of old conjectures about symmetries in quantum gravity. We first show that any global symmetry, discrete or continuous, in a bulk quantum gravity theory with…

High Energy Physics - Theory · Physics 2019-06-07 Daniel Harlow , Hirosi Ooguri

We present a thorough stability analysis of modified gravity theories in the presence of matter fields. We use the Effective Field Theory framework for Dark Energy and Modified Gravity to retain a general approach for the gravity sector and…

General Relativity and Quantum Cosmology · Physics 2017-03-14 Antonio De Felice , Noemi Frusciante , Georgios Papadomanolakis

We study the Dvali-Gabadadze-Porrati model by the method of the boundary effective action. The truncation of this action to the bending mode \pi consistently describes physics in a wide range of regimes both at the classical and at the…

High Energy Physics - Theory · Physics 2010-11-19 Alberto Nicolis , Riccardo Rattazzi

We provide a full analysis of ghost free higher derivative field theories with coupled degrees of freedom. Assuming the absence of gauge symmetries, we derive the degeneracy conditions in order to evade the Ostrogradsky ghosts, and analyze…

High Energy Physics - Theory · Physics 2017-06-29 Marco Crisostomi , Remko Klein , Diederik Roest

The theory of ghost imaging is developed in a Gaussian-state framework that both encompasses prior work - on thermal-state and biphoton-state imagers - and provides a complete understanding of the boundary between classical and quantum…

Quantum Physics · Physics 2009-11-13 Baris I. Erkmen , Jeffrey H. Shapiro

We study cosmic structures in the quadratic Degenerate Higher Order Scalar Tensor (qDHOST) model, which has been proposed as the most general scalar-tensor theory (up to quadratic dependence on the covariant derivatives of the scalar…

General Relativity and Quantum Cosmology · Physics 2018-05-23 Nicola Bartolo , Purnendu Karmakar , Sabino Matarrese , Mattia Scomparin