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We use a de Sitter breaking graviton propagator to compute the tree order correlator between noncoincident Weyl tensors on a locally de Sitter background. An explicit, and very simple result is obtained, for any spacetime dimension D, in…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Pedro J. Mora , Richard P. Woodard

We compute the linearized Weyl-Weyl correlator using a new solution for the graviton propagator on de Sitter background in de Donder gauge. The result agrees exactly with a previous computation in a noncovariant gauge. We also use…

General Relativity and Quantum Cosmology · Physics 2015-06-05 P. J. Mora , N. C. Tsamis , R. P. Woodard

A comparison is given between the Newtonian and Einsteinian frames of gravitation. From this it is shown that there exist a weak connection to gravitation and electromagnetism. This connection is then studied more thoroughly with the Weyl…

General Physics · Physics 2007-05-23 E. F. Halerewicz

Gravitoelectromagnetism in the Weyl formalism is investigated through an analysis of the consequences of a restricted gauge symmetry acting on the tensor field $A_{\mu\nu}$. The propagator associated with the GEM field is explicitly derived…

General Relativity and Quantum Cosmology · Physics 2026-05-27 L. A. S. Evangelista , A. F. Santos

We present a new computation of the renormalized graviton self-energy induced by a loop of massless, minimally coupled scalars on de Sitter background. Our result takes account of the need to include a finite renormalization of the…

General Relativity and Quantum Cosmology · Physics 2024-05-02 S. P. Miao , N. C. Tsamis , R. P. Woodard

We investigate the gauge-invariant observables constructed by smearing the graviton and inflaton fields by compactly supported tensors at linear order in general single-field inflation. These observables correspond to gauge-invariant…

General Relativity and Quantum Cosmology · Physics 2017-09-01 Markus B. Fröb , Thomas-Paul Hack , Atsushi Higuchi

We extend our program, of coupling theories to scale in order to make their Weyl invariance manifest, to include interacting theories, fermions and supersymmetric theories. The results produce mass terms coinciding with the standard ones…

High Energy Physics - Theory · Physics 2014-11-20 Abrar Shaukat , Andrew Waldron

In modified gravity, the one-loop matter power spectrum exhibits an ultraviolet divergence as shown in the framework of the degenerate higher-order scalar-tensor theory. To address this problem, we extend the effective field theory of large…

General Relativity and Quantum Cosmology · Physics 2022-10-04 Shin'ichi Hirano , Tomohiro Fujita

We investigate gauge invariant scalar fluctuations of the metric during inflation in a non-perturbative formalism in the framework of a recently introduced scalar-tensor theory of gravity formulated on a Weyl-Integrable geometry. We found…

General Relativity and Quantum Cosmology · Physics 2016-10-05 M. L. Pucheu , C. Romero , M. Bellini , José Edgar Madriz Aguilar

The complexified gauging of the de Sitter group gives a unified theory for the electroweak and gravitational interactions. The standard spectrum for the electroweak gauge bosons is recovered with the correct mass assignments, following a…

High Energy Physics - Theory · Physics 2009-10-30 Nikolaos A Batakis

A class of vector-tensor theories arises naturally in the framework of quadratic gravity in spacetimes with linear vector distortion. Requiring the absence of ghosts for the vector field imposes an interesting condition on the allowed…

High Energy Physics - Theory · Physics 2016-05-04 Jose Beltran Jimenez , Lavinia Heisenberg , Tomi S. Koivisto

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…

High Energy Physics - Theory · Physics 2022-06-29 Ichiro Oda

A previous calculation of the 1-loop photon contribution to the graviton self-energy on de Sitter background is considered. We first show that there is no local obstacle to conservation, unlike the contribution from a loop of massless,…

General Relativity and Quantum Cosmology · Physics 2024-12-17 A. J. Foraci , R. P. Woodard

We investigate cosmological inflationary scenarios from a gravitoelectromagnetic theory. Our work is formulated in the light of a recently introduced geometrical Weyl-Invariant scalar-tensor theory of gravity, where the nature of both the…

General Relativity and Quantum Cosmology · Physics 2018-04-10 M. Montes , José Edgar Madriz Aguilar , V. Granados

We derive the predictions of quantum gravity with fakeons on the amplitudes and spectral indices of the scalar and tensor fluctuations in inflationary cosmology. The action is $R+R^{2}$ plus the Weyl-squared term. The ghost is eliminated by…

High Energy Physics - Theory · Physics 2020-08-04 Damiano Anselmi , Eugenio Bianchi , Marco Piva

We obtain scale-invariant scalar and tensor power spectra from a Weyl-invariant scalar-tensor theory in de Sitter spacetime. This implies that the Weyl-invariance guarantees to implement the scale-invariance of power spectrum in de Sitter…

General Relativity and Quantum Cosmology · Physics 2016-02-19 Yun Soo Myung , Young-Jai Park

Weyl gravity has been advanced in the recent past as an alternative to General Relativity (GR). The theory has had some success in fitting galactic rotation curves without the need for copious amounts of dark matter. To check the viability…

Astrophysics · Physics 2008-12-30 A. Edery , M. B. Paranjape

We consider a Weyl invariant extension of Dirac-Born-Infeld type gravity. An appropriate choice of the metric hides the scalar degree of freedom which is required by the local scale invariance of the action at the first sight, and then a…

General Relativity and Quantum Cosmology · Physics 2010-12-27 Nahomi Kan , Takuya Maki , Kiyoshi Shiraishi

We study the particle spectrum and the unitarity of the generic n-dimensional Weyl-invariant quadratic curvature gravity theories around their (anti-)de Sitter [(A)dS] and flat vacua. Weyl symmetry is spontaneously broken in (A)dS and…

High Energy Physics - Theory · Physics 2012-03-13 M. Reza Tanhayi , Suat Dengiz , Bayram Tekin

We propose a testable alternative to inflation directly built in a very general class of ultraviolet complete theories of quantum gravity enjoying Weyl invariance. After the latter is spontaneously broken, logarithmic quantum corrections to…

General Relativity and Quantum Cosmology · Physics 2024-12-09 Gianluca Calcagni , Leonardo Modesto
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