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We perform a manifestly covariant quantization of a Weyl invariant, i.e., a locally scale invariant, scalar-tensor gravity in the extended de Donder gauge condition (or harmonic gauge condition) for general coordinate invariance and a new…

高能物理 - 理论 · 物理学 2022-06-29 Ichiro Oda

We derive a Weyl invariant equation for Gravity by gauging the global Weyl invariance of vacuum Einstein equations. The equation is linear in the curvature and a natural generalization of Einstein equations to Weyl geometry. The system has…

广义相对论与量子宇宙学 · 物理学 2024-12-03 Máximo Bañados

The bimetric theory of gravity is an extension of general relativity that describes a massive spin-$2$ particle in addition to the standard massless graviton. The theory is based on two dynamical metric tensors with their interactions…

广义相对论与量子宇宙学 · 物理学 2025-01-23 Ioannis D. Gialamas , Kyriakos Tamvakis

We comment on some peculiarities of matter with and without Weyl invariance coupled to classical $2d$ Einstein-Hilbert gravity for several models, in particular, related to the counting of degrees of freedom and on the dynamics. We find…

广义相对论与量子宇宙学 · 物理学 2020-02-05 Corinne de Lacroix , Harold Erbin

We construct a Weyl-invariant extension of topologically massive gravity which, remarkably, turns out to include topologically massive electrodynamics, with a Proca mass term, conformally coupled to a scalar field. The action has no…

高能物理 - 理论 · 物理学 2012-11-08 Suat Dengiz , Ercan Kilicarslan , Bayram Tekin

We study the consistency of a model which includes torsion as well as the metric as dynamical fields and has massive spin-2 particle in its spectrum. The massive spin-2 mode resides in the torsion, rather than in the metric. It is known…

高能物理 - 理论 · 物理学 2015-05-13 V. P. Nair , S. Randjbar-Daemi , V. Rubakov

In spinor formalism, since any massless free-field spinor with spin higher than $1/2$ can be constructed with spin-1/2 spinors (Dirac-Weyl spinors) and scalars, we introduce a map between Weyl fields and Dirac-Weyl fields. We determine the…

广义相对论与量子宇宙学 · 物理学 2022-12-07 Shanzhong Han

In the context of perturbative quantum field theory, the addition of quadratic-curvature invariants to the Einstein-Hilbert action makes it possible to achieve strict renormalizability in four dimensions. The additional terms $R^2$ and…

高能物理 - 理论 · 物理学 2023-12-12 Luca Buoninfante

Inflation in the early universe can generate the nearly conformal invariant fluctuation that leads to the structures we observe at the present. The simple viable Starobinsky $R^2$ inflation has an approximate global scale symmetry. We study…

高能物理 - 唯象学 · 物理学 2023-03-14 Yong Tang , Yue-Liang Wu

Recent astrophysical data indicate that our universe might currently be in a de Sitter (dS) phase. The importance of dS space has been primarily ignited by the study of the inflationary model of the universe and the quantum gravity. As we…

综合物理 · 物理学 2013-01-15 Mohsen Fathi

We constrain theories of a massive spin-2 particle coupled to a massless spin-2 particle by demanding the absence of a time advance in eikonal scattering. This is an $S$-matrix consideration that leads to model-independent constraints on…

高能物理 - 理论 · 物理学 2018-07-17 James Bonifacio , Kurt Hinterbichler , Austin Joyce , Rachel A. Rosen

We show that the minimal Weyl-invariant Einstein-Cartan gravity in combination with the Standard Model of particle physics contains just one extra scalar degree of freedom (in addition to the graviton and the Standard Model fields) with the…

高能物理 - 理论 · 物理学 2024-06-19 Georgios K. Karananas , Mikhail Shaposhnikov , Sebastian Zell

Scale invariance is considered 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^4x + \int L_{2}\sqrt{-g}d^4x where \Phi is a density built out of degrees of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 E. I. Guendelman , A. B. Kaganovich

A Chern--Simons system in $2+1$ dimensions invariant under local Lorentz rotations, $SU(2)$ gauge transformations, and local $\mathcal{N}=2$ supersymmetry transformations is proposed. The field content is that of $(2+1)$-gravity plus an…

高能物理 - 理论 · 物理学 2015-08-26 Pedro D. Alvarez , Pablo Pais , Eduardo Rodríguez , Patricio Salgado-Rebolledo , Jorge Zanelli

Higher-order curvature corrections involving the conformally-invariant Weyl-squared action have played a role in two recent investigations of four-dimensional gravity; in critical gravity, where it is added to the standard cosmological…

高能物理 - 理论 · 物理学 2012-10-02 H. Lu , Yi Pang , C. N. Pope

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…

广义相对论与量子宇宙学 · 物理学 2025-01-23 Ioannis D. Gialamas , Kyriakos Tamvakis

We construct a Lagrangian of Weyl spinors and gauge fields, which is invariant under the action of equivalent local transformations on the spinor algebra representations. A model of vacuum with a nontrivial gauge strength-tensor setting a…

高能物理 - 唯象学 · 物理学 2007-05-23 V. V. Kiselev

Weyl invariant gravity has been investigated as the fundamental theory of the vector inflation. Accordingly, we consider a Weyl invariant extension of Dirac-Born-Infeld type gravity. We find that an appropriate choice of the metric removes…

广义相对论与量子宇宙学 · 物理学 2012-10-02 Takuya Maki , Nahomi Kan , Kiyoshi Shiraishi

The Weyl double copy formalism, which relates the Weyl spinor with the square of the field strength, is studied in the context of Hassan-Rosen bigravity for stationary and time-dependent solutions. We consider the dyonic Kerr-Newman-(A)dS…

广义相对论与量子宇宙学 · 物理学 2025-10-03 Hugo García-Compeán , César I. Ramos

We consider Weyl gauge theories of gravity (WGTs), which are invariant both under local Poincar\'e transformations and local changes of scale. Such theories may be interpreted as gauge theories in Minkowski spacetime, but their…

广义相对论与量子宇宙学 · 物理学 2021-03-25 Michael Hobson , Anthony Lasenby