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Scale invariant (transverse) gravitational theories are introduced. They are invariant under pure metric rescalings (i.e. the matter fields are inert under those). This symmetry forbids the presence of a cosmological constant. Those…

High Energy Physics - Theory · Physics 2011-01-24 Enrique Álvarez , Roberto Vidal

We study gravity coupled to scalar and fermion fields in the Einstein-Cartan framework. We discuss the most general form of the action that contains terms of mass dimension not bigger than four, leaving out only contributions quadratic in…

High Energy Physics - Theory · Physics 2021-08-17 Mikhail Shaposhnikov , Andrey Shkerin , Inar Timiryasov , Sebastian Zell

This short review examines recent progress in understanding dark matter, dark energy, and galactic halos using theory that departs minimally from standard particle physics and cosmology. Strict conformal symmetry (local Weyl scaling…

General Physics · Physics 2015-06-11 Robert K. Nesbet

We introduce Weyl's scale symmetry into the standard model (SM) as a local symmetry. This necessarily introduces gravitational interactions in addition to the local scale invariance group \tilde U(1) and the SM groups SU(3) X SU(2) X U(1).…

High Energy Physics - Theory · Physics 2009-07-30 Hitoshi Nishino , Subhash Rajpoot

A scale invariant, Weyl geometric, Lagrangian approach to cosmology is explored, with a a scalar field phi of (scale) weight -1 as a crucial ingredient besides classical matter \cite{Tann:Diss,Drechsler:Higgs}. For a particularly simple…

Astrophysics · Physics 2009-11-18 Erhard Scholz

By a uniform and simple Weyl invariant coupling of scale and matter fields, we construct theories that unify massless, massive, and partially massless excitations. Masses are related to tractor Weyl weights, and Breitenlohner-Freedman…

High Energy Physics - Theory · Physics 2014-11-18 A. R. Gover , A. Shaukat , A. Waldron

We study the massless minimally coupled scalar field on a two--dimensional de Sitter space-time in the setting of axiomatic quantum field theory. We construct the invariant Wightman distribution obtained as the renormalized zero--mass limit…

Mathematical Physics · Physics 2015-06-26 Marco Bertola , Francesco Corbetta , Ugo Moschella

It has recently been shown that the graviton can consistently gain a constant mass without introducing the Boulware-Deser ghost. We propose a gravity model where the graviton mass is set by a scalar field and prove that this model is free…

High Energy Physics - Theory · Physics 2014-02-06 Qing-Guo Huang , Yun-Song Piao , Shuang-Yong Zhou

We analyse scale invariant quadratic quantum gravity incorporating non-minimal coupling to a multiplet of scalar fields in a gauge theory, with particular emphasis on the consequences for its interpretation resulting from a transformation…

High Energy Physics - Theory · Physics 2018-03-07 Martin B. Einhorn , D. R. Timothy Jones

We study the cosmological evolution of an induced gravity model with a self-interacting scalar field $\sigma$ and in the presence of matter and radiation. Such model leads to Einstein Gravity plus a cosmological constant as a stable…

Astrophysics · Physics 2008-11-26 F. Finelli , A. Tronconi , G. Venturi

Realizations of scale invariance are studied in the context of a gravitational theory where the action (in the first order formalism) is of the form $S = \int L_{1} \Phi d^{4}x$ + $\int L_{2}\sqrt{-g}d^{4}x$ where $\Phi$ is a density built…

General Relativity and Quantum Cosmology · Physics 2009-10-31 E. I. Guendelman

In this thesis, we studied the Topologically Massive Gravity (TMG) in two perspectives. Firstly, by using real scalar and abelian gauge fields, we built the Weyl-invariant extension of TMG which unifies cosmological TMG and Topologically…

High Energy Physics - Theory · Physics 2017-10-19 Ercan Kilicarslan

In this paper we investigate possible consistent ghost-free models containing massive spin 2 particles in three dimensions. We work in a constructive approach based on the frame-like gauge invariant description for such massive spin 2…

High Energy Physics - Theory · Physics 2015-06-05 Yu. M. Zinoviev

Ghost-free bimetric gravity is an extension of general relativity, featuring a massive spin-2 field coupled to gravity. We parameterize the theory with a set of observables having specific physical interpretations. For the background…

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

We investigate the problems of consistency and causality for the equations of motion describing massive spin two field in external gravitational and massless scalar dilaton fields in arbitrary spacetime dimension. From the field theoretical…

High Energy Physics - Theory · Physics 2009-10-31 I. L. Buchbinder , D. M. Gitman , V. A. Krykhtin , V. D. Pershin

In this paper we apply the symmetry principle in order to search for an alternative unified explanation of several cosmological puzzles such as the present stage of accelerated expansion of the Universe and the Hubble tension issue, among…

General Relativity and Quantum Cosmology · Physics 2023-01-13 Israel Quiros

We recast the action of pure gravity into a form that is invariant under a twofold Lorentz symmetry. To derive this representation, we construct a general parameterization of all theories equivalent to the Einstein-Hilbert action up to a…

High Energy Physics - Theory · Physics 2017-01-31 Clifford Cheung , Grant N. Remmen

We identify in Einstein gravity an asymptotic spin-$2$ charge aspect whose conservation equation gives rise, after quantization, to the sub-subleading soft theorem. Our treatment reveals that this spin-$2$ charge generates a non-local…

High Energy Physics - Theory · Physics 2022-06-15 Laurent Freidel , Daniele Pranzetti , Ana-Maria Raclariu

Here we obtain alternative descriptions of massive spin-2 particles by an embedding procedure of the Fierz-Pauli equations of motion. All models are free of ghosts at quadratic level although most of them are of higher order in derivatives.…

High Energy Physics - Theory · Physics 2015-06-19 D. Dalmazi , A. L. R. dos Santos , E. L. Mendonça

Recent developments in bigravity allow one to construct consistent theories of interacting spin-2 particles that are free of ghosts. In this framework, we propose an elementary spin-2 dark matter candidate with a mass well below the TeV…

High Energy Physics - Phenomenology · Physics 2017-11-27 Xiaoyong Chu , Camilo Garcia-Cely