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If the kinetic interactions of a Lorentz-invariant massive graviton are Einstein-Hilbert, then the only possible potential terms free from the Boulware-Deser ghost are those of de Rham, Gabadadze and Tolley (dRGT). We point out there are…

High Energy Physics - Theory · Physics 2018-08-10 Kurt Hinterbichler

We report the existence of a ghost- and tachyon-free sector in metric-affine theories of gravity, that is invariant under diffeomorphism and a particular abelian symmetry. In contrast with many studied cases in the literature, the…

High Energy Physics - Theory · Physics 2022-08-03 Carlo Marzo

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

A general approach to description of multigravity models in D-dimensional space-time is presented. Different possibilities of generalization of the invariant volume are given. Then a most general form of the interaction potential is…

High Energy Physics - Theory · Physics 2014-08-26 Steven Duplij , Albert Kotvytskiy

In this work we study the partially constrained vielbein formulation of the new quasidilaton theory of massive gravity which couples to both physical and fiducial metrics simultaneously via a composite effective metric. This formalism…

High Energy Physics - Theory · Physics 2016-06-01 Antonio De Felice , A. Emir Gümrükçüoğlu , Lavinia Heisenberg , Shinji Mukohyama , Norihiro Tanahashi

We present the complete form of the decoupling limit of ghost-free massive gravity with a Minkowski reference metric, including the full interactions of the helicity-1 and helicity-0 modes of the massive spin-2 field. While in the metric…

High Energy Physics - Theory · Physics 2015-06-16 Nicholas A. Ondo , Andrew J. Tolley

We develop a new operator quantization scheme for gauge theories in which the dynamics of the ghost sector is described by an N=2 supersymmetry. In this scheme no gauge condition is imposed on the gauge fields. The corresponding path…

High Energy Physics - Theory · Physics 2008-02-03 Frederik G Schotlz , Sergei V. Shabanov

Ghost-free bimetric theories describe nonlinear interactions of massive and massless spin-2 fields and, hence, provide a natural framework for investigating the phenomenon of partial masslessness for massive spin-2 fields at the nonlinear…

High Energy Physics - Theory · Physics 2015-06-12 S. F. Hassan , Angnis Schmidt-May , Mikael von Strauss

Performing Hamiltonian analysis of the massive gravity [9] in full phase space, we see that the theory is ghost free. We also see in a more clear way that this result is intrinsic of the interaction term and does not depend on the variables…

High Energy Physics - Theory · Physics 2018-08-01 Zahra Molaee , Ahmad Shirzad

We find unitary and local theories of higher curvature gravity in the vielbein formalism, known as the Poincar\'{e} gauge theory by utilizing the equivalence to the ghost-free massive bigravity. We especially focus on three and four…

High Energy Physics - Theory · Physics 2021-01-13 Katsuki Aoki

The role of gauge invariance is reconsidered by "deriving it without assuming it" within an autonomous approach to interactions of Standard Model particles. In this approach, the renormalizable interactions are purely constrained by quantum…

High Energy Physics - Theory · Physics 2026-05-26 Karl-Henning Rehren

Ghost-free bimetric gravity is a theory of two interacting spin-2 fields, one massless and one massive, in addition to the standard matter particles and fields, thereby generalizing Einstein's theory of general relativity. To parameterize…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Marcus Högås , Edvard Mörtsell

We consider the issues that arise out of interpreting the ghost-free bimetric theory as a theory of a spin-2 field coupled to gravity. This requires identifying a gravitational metric and parameterizing deviations of the resulting theory…

High Energy Physics - Theory · Physics 2015-06-11 S. F. Hassan , Angnis Schmidt-May , Mikael von Strauss

We study the ghost-free bimetric theory of Hassan and Rosen, with parameters $\beta_i$ such that a flat Minkowski solution exists for both metrics. We show that, expanding around this solution and eliminating one of the two metrics with its…

High Energy Physics - Theory · Physics 2015-06-22 Giulia Cusin , Jacopo Fumagalli , Michele Maggiore

We reveal the existence of a certain hidden symmetry in general ghost-free scalar-tensor theories which can only be seen when generalizing the geometry of the spacetime from Riemannian. For this purpose, we study scalar-tensor theories in…

High Energy Physics - Theory · Physics 2019-08-28 Katsuki Aoki , Keigo Shimada

This work describes the formulation of the manifestly ghost-free (spacetime) light-cone gauge for bosonic string theory with non-trivial spacetime metric, antisymmetric tensor, dilaton and tachyon fields. The action is a general…

High Energy Physics - Theory · Physics 2008-11-26 Robert Rudd

Lorentz covariance is the fundamental principle of every relativistic field theory which insures consistent physical descriptions. Even if the space-time is noncommutative, field theories on it should keep Lorentz covariance. In this paper,…

High Energy Physics - Theory · Physics 2007-05-23 Yoshitaka Okumura , Katsusada Morita , Kouhei Imai

We continue the study of the supersymmetric vector multiplet in a purely quantum framework. We obtain some new results which make the connection with the standard literature. First we construct the one-dimensional physical Hilbert space…

High Energy Physics - Theory · Physics 2015-06-26 Dan Radu Grigore , Markus Gut , Gunter Scharf

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

In this work we develop a theoretical framework for Gauss-Bonnet modified gravity theories, in which ghost modes can be eliminated at the equations of motion level. Particularly, after we present how the ghosts can occur at the level of…

General Relativity and Quantum Cosmology · Physics 2019-03-06 S. Nojiri , S. D. Odintsov , V. K. Oikonomou