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Bimetric gravity, is a theory of gravity that posits the existence of two interacting and dynamical metric tensors. The spectrum of bimetric gravity consists of a massless and a massive spin-2 particle. The form of the interactions between…

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

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 gist of using the light cone gauge lies in the well known property of ghosts decoupling. But from the BRST point of view this is a stringency since for the construction of a nilpotent operator (from a Lie algebra) the presence of ghosts…

High Energy Physics - Theory · Physics 2007-05-23 Ricardo Bentin

"Physical theories of fundamental significance tend to be gauge theories. These are theories in which the physical system being dealt with is described by more variables than there are physically independent degree of freedom. The…

Classical Physics · Physics 2007-05-23 Germain Rousseaux

Recently, the construction of ghost-free nonlinear massive spin-2 interactions solved a long outstanding problem in classical field theory. The consistent formulation requires a second rank-two tensor (or metric) and therefore has the form…

General Relativity and Quantum Cosmology · Physics 2014-05-13 Angnis Schmidt-May

We provide an auxiliary field formulation of the full ghost-free bimetric theory which avoids the explicit presence of a square-root matrix in the action. This description always allows for a branch of solutions where the auxiliary fields…

High Energy Physics - Theory · Physics 2014-12-15 Angnis Schmidt-May , Mikael von Strauss

We find that the recently-proposed ghost-free interaction of a 2-form gauge field in four dimensions, which contains derivative couplings in a nonperturbative manner, can be regarded as a resummation of ghostly interaction terms. We…

General Relativity and Quantum Cosmology · Physics 2020-01-30 Kazufumi Takahashi , Daisuke Yoshida

Theories formulated in the arena of teleparallel geometries are generically plagued by ghost-like instabilities or other pathologies that are ultimately caused by the breaking of some symmetries. In this work, we construct a class of…

General Relativity and Quantum Cosmology · Physics 2025-01-15 Antonio G. Bello-Morales , Jose Beltrán Jiménez , Alejandro Jiménez Cano , Antonio L. Maroto , Tomi S. Koivisto

A ghost-free metric formulation of the recently proposed covariant Galileon model \cite{RPgal} which retains the internal shift symmetry has been constructed. This presents a new result because the covariant Galileon models introduced so…

General Relativity and Quantum Cosmology · Physics 2017-09-20 Rabin Banerjee , Sumanta Chakraborty , Arpita Mitra , Pradip Mukherjee

In this work we find necessary and sufficient conditions for a free nilpotent or a free metabelian nilpotent Lie algebra to be endowed with an ad-invariant metric. For such nilpotent Lie algebras admitting an ad-invariant metric the…

Rings and Algebras · Mathematics 2012-06-19 Gabriela Ovando , Viviana del Barco

The no-ghost theorem for Neveu-Schwarz string is directly proved in 0-picture. The one-to-one correspondence between physical states in 0-picture and those in the conventional (-1)-picture are confirmed. It is shown that a non-trivial…

High Energy Physics - Theory · Physics 2012-02-01 Maiko Kohriki , Hiroshi Kunitomo , Masaki Murata

Using the metric formalism, we study the derivative mixings of spin-2 fields in massive bi-Gravity. Necessary (but not sufficient) criteria are given for such mixings to be ghost free. Examples satisfying those criteria are studied and it…

High Energy Physics - Theory · Physics 2017-04-28 Giorgi Tukhashvili

A new representation is found for the action of the recently suggested ghost-free nonlocal gravity models generating de Sitter or Anti-de Sitter background with an arbitrary value of the effective cosmological constant. This representation…

High Energy Physics - Theory · Physics 2015-06-11 A. O. Barvinsky , Yu. V. Gusev

We study the matter density perturbations in modified teleparallel gravity theories, where extra degrees of freedom arise from the local Lorentz violation in the tangent space. We formulate a vierbein perturbation with variables addressing…

General Relativity and Quantum Cosmology · Physics 2013-06-25 Yi-Peng Wu , Chao-Qiang Geng

Gauge theories of conformal spacetime symmetries are presented which merge features of Yang-Mills theory and general relativity in a new way. The models are local but nonpolynomial in the gauge fields, with a nonpolynomial structure that…

High Energy Physics - Theory · Physics 2014-11-18 Friedemann Brandt

In this paper we study the ghost-free bimetric action extended by a recently proposed coupling to matter through a composite metric. The equations of motion for this theory are derived using a method which avoids varying the square-root…

General Relativity and Quantum Cosmology · Physics 2015-02-17 Angnis Schmidt-May

Using the frame formulation of multi-gravity in three dimensions, we show that demanding the presence of secondary constraints which remove the Boulware-Deser ghosts restricts the possible interaction terms of the theory and identifies…

High Energy Physics - Theory · Physics 2015-01-15 Hamid R. Afshar , Eric A. Bergshoeff , Wout Merbis

We provide an exact mapping between the Galilian gauge theory, recently advocated by us \cite{BMM1, BMM2, BM}, and the Poincare gauge theory. Applying this correspondence we provide a vielbein approach to the geometric formulation of…

General Relativity and Quantum Cosmology · Physics 2019-01-03 Rabin Banerjee , Pradip Mukherjee

The review studies connections between integrable many-body systems and gauge theories. It is shown how the degrees of freedom in integrable systems are related with topological degrees of freedom in gauge theories. The relations between…

High Energy Physics - Theory · Physics 2007-05-23 A. Gorsky , A. Mironov

The effect of the Gribov horizon in Euclidean $SU(2)$ gauge theory is studied. Gauge fields on the Gribov horizon yield zero modes of ghosts and anti-ghosts. We show these zero modes can produce additional ghost interactions, and the Landau…

High Energy Physics - Theory · Physics 2019-12-06 Hirohumi Sawayanagi
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