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In scale-invariant models of fundamental physics, mass scales are generated by spontaneous symmetry breaking. In this work, we study inflation in scale-invariant $R^2$ gravity, in which the Planck mass is generated by a scalar field, which…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Carsten van de Bruck , Richard Daniel

Classical scale invariance represents a promising framework for model building beyond the Standard Model. However, once coupled to gravity, any scale-invariant microscopic model requires an explanation for the origin of the Planck mass. In…

High Energy Physics - Phenomenology · Physics 2019-08-20 Jisuke Kubo , Manfred Lindner , Kai Schmitz , Masatoshi Yamada

It is well-known that the gravitational force can be obtained by gauging the Lorentz group, which puts gravity on the same footing as the Standard Model fields. The resulting theory - Einstein-Cartan gravity - has several crucial…

High Energy Physics - Theory · Physics 2025-06-16 Mikhail Shaposhnikov

We discuss the cosmological phenomenology of biscalar-tensor models displaying a maximally symmetric Einstein-frame kinetic sector and constructed on the basis of scale symmetry and volume-preserving diffeomorphisms. These theories contain…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-20 Santiago Casas , Georgios K. Karananas , Martin Pauly , Javier Rubio

The field equations associated with the Born-Infeld-Einstein action including matter are derived using a Palatini variational principle. Scalar, electromagnetic, and Dirac fields are considered. It is shown that an action can be chosen for…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Dan N. Vollick

The perfect dilaton-spin fluid (as a model of the dilaton matter, the particles of which are endowed with intrinsic spin and dilaton charge) is considered as the source of the gravitational field in a Weyl-Cartan spacetime. The variational…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Olga V. Babourova , Boris N. Frolov

In this short note we analyze the inflationary dynamics in Weyl-invariant Einstein-Cartan gravity coupled to the Standard Model of particle physics. We take the axion-like particle of gravitational origin to be approximately massless in the…

High Energy Physics - Phenomenology · Physics 2025-11-10 Georgios K. Karananas , Mikhail Shaposhnikov

A unified multi scalar field model with three flat regions is discussed. The three flat regions are the inflation, early and late dark energy epochs. The potential is obtained by a spontaneous breaking of scale invariance generated by Non…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Eduardo Guendelman , Ramon Herrera , David Benisty

Combining the quantum scale invariance with the absence of new degrees of freedom above the electroweak scale leads to stability of the latter against perturbative quantum corrections. Nevertheless, the hierarchy between the weak and the…

High Energy Physics - Theory · Physics 2018-10-08 Mikhail Shaposhnikov , Andrey Shkerin

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

The possibility of mass in the context of scale-invariant, generally covariant theories, is discussed. Scale invariance is considered in the context of a gravitational theory where the action, in the first order formalism, is of the form $S…

General Relativity and Quantum Cosmology · Physics 2007-05-23 E. I. Guendelman

We formulate new conformal models of inflation and dark energy which generalise the Higgs-Dilaton scenario. We embed these models in unimodular gravity whose effect is to break scale invariance in the late time Universe. In the early…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 P. Brax , A. C. Davis

We consider classically scale-invariant theories with non-minimally coupled scalar fields, where the Planck mass and the hierarchy of physical scales are dynamically generated. The classical theories possess a fixed point, where scale…

High Energy Physics - Phenomenology · Physics 2017-05-03 K. Kannike , M. Raidal , C. Spethmann , H. Veermäe

The role of space-time torsion in general relativity is reviewed in accordance with some recent results on the subject. It is shown that, according to the connection compatibility condition, the usual Riemannian volume element is not…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alberto Saa

Scalar fields, $\phi_i$ can be coupled non-minimally to curvature and satisfy the general criteria: (i) the theory has no mass input parameters, including the Planck mass; (ii) the $\phi_i$ have arbitrary values and gradients, but undergo a…

High Energy Physics - Theory · Physics 2017-02-15 Pedro G. Ferreira , Christopher T. Hill , Graham G. Ross

We initiate the analysis of the inflationary dynamics in Weyl-invariant Einstein-Cartan gravity nonminimally coupled to the Standard Model of particle physics. We take the axion-like particle of gravitational origin to be heavy and show…

High Energy Physics - Phenomenology · Physics 2025-07-23 Georgios K. Karananas , Mikhail Shaposhnikov , Sebastian Zell

Within the framework of Einstein-Cartan gravity we consider an action, containing up to quadratic terms of the Ricci scalar and the Holst invariant, coupled non-minimally to a scalar field, including couplings of its derivatives to…

General Relativity and Quantum Cosmology · Physics 2025-06-19 Theodoros Katsoulas , Kyriakos Tamvakis

We consider a coupling of conformal gravity to the classically scale-invariant B-L extended standard model which has been recently proposed as a phenomenologically viable model realizing the Coleman-Weinberg mechanism of breakdown of the…

High Energy Physics - Phenomenology · Physics 2015-06-15 Ichiro Oda

In scale-invariant models of fundamental physics all mass scales are generated via spontaneous symmetry breaking. In this work, we study inflation in scale-invariant quadratic gravity, in which the Planck mass is generated classically by a…

General Relativity and Quantum Cosmology · Physics 2023-05-05 Anish Ghoshal , Debangshu Mukherjee , Massimiliano Rinaldi

We consider the minimal Standard Model as an effective low-energy description of an unspecified fundamental theory with spontaneously broken conformal symmetry. The effective theory exhibits classical scale invariance which manifest itself…

High Energy Physics - Phenomenology · Physics 2017-01-19 Archil Kobakhidze , Shelley Liang