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Related papers: Gravitational Contact Interactions -- Does the Jor…

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Theories of scalars and gravity, with an Einstein-Hilbert term and non-minimal interactions, $M^2R/2 -\alpha\phi^2R/12 $, have graviton exchange induced contact interactions. These modify the renormalization group, leading to a discrepancy…

General Relativity and Quantum Cosmology · Physics 2023-05-03 Dumitru Ghilencea , Christopher T. Hill

Theories of scalars and gravity, with non-minimal interactions, $\sim (M_P^2 +F(\phi) )R +L(\phi)$, have graviton exchange induced contact terms. These terms arise in single particle reducible diagrams with vertices $\propto q^2$ that…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Christopher T. Hill , Graham G. Ross

Scalar-Tensor theories of gravity can be formulated in different frames, most notably, the Einstein and the Jordan one. While some debate still persists in the literature on the physical status of the different frames, a frame…

Astrophysics · Physics 2008-11-26 R. Catena , M. Pietroni , L. Scarabello

The presence of scalar fields with non-minimal gravitational interactions of the form $\xi |\phi|^2 R$ may have important implications for the physics of the early universe. While many studies solve the dynamics of non-minimally coupled…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-09 Daniel G. Figueroa , Adrien Florio , Toby Opferkuch , Ben A. Stefanek

By using a bottom-up reconstruction technique for non-minimally coupled scalar-tensor theories, we realize the Einstein frame attractor cosmologies in the $\Omega (\phi)$-Jordan frame. For our approach, what is needed for the reconstruction…

General Relativity and Quantum Cosmology · Physics 2018-04-04 S. D. Odintsov , V. K. Oikonomou

We consider Einstein gravity with the addition of $R^2$ and $R^{\mu \nu} R_{\mu \nu}$ interactions in the context of effective field theory, and the corresponding scattering amplitudes of gravitons and minimally-coupled heavy scalars.…

High Energy Physics - Theory · Physics 2020-02-19 Manuel Accettulli Huber , Andreas Brandhuber , Stefano De Angelis , Gabriele Travaglini

We present a critical discussion of quantum corrections, renormalisation, and the computation of the beta functions and the effective potential in Higgs inflation. In contrast with claims in the literature, we find no evidence for a…

High Energy Physics - Theory · Physics 2014-02-27 Damien P. George , Sander Mooij , Marieke Postma

Scalar-tensor theories of gravity can be formulated in the Jordan or in the Einstein frame, which are conformally related. The issue of which conformal frame is physical is a contentious one; we provide a straightforward example based on…

Astrophysics · Physics 2007-05-23 Valerio Faraoni , Edgard Gunzig

We investigate two approaches to non minimally coupled gravity theories which present linear inflation as attractor solution: a) the scalar-tensor theory approach, where we look for a scalar-tensor theory that would restore results of…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-03 Michal Artymowski , Antonio Racioppi

The scalar-tensor theory can be formulated in both Jordan and Einstein frames, which are conformally related together with a redefinition of the scalar field. As the solution to the equation of the scalar field in the Jordan frame does not…

General Relativity and Quantum Cosmology · Physics 2020-05-07 Chao-Qiang Geng , Hao-Jui Kuan , Ling-Wei Luo

Non-minimal scalar-tensor (ST) theories may admit an Einstein frame representation, where gravity is described by the Einstein-Hilbert action plus the scalar sector. Some STs become just {\em minimal} Einstein-scalar (MES) theories, notable…

General Relativity and Quantum Cosmology · Physics 2020-06-24 Dmitri Gal'tsov

Scalar tensor theories of gravity can be formulated in the Einstein or in the Jordan frame, which are related by the conformal transformations. Although the two frames are describe the same physics, and are equivalent, the stability of the…

General Relativity and Quantum Cosmology · Physics 2020-11-24 Amin Salehi

We present an extended study of inflationary models that inflaton field is non-minimally coupled with gravity. We study parameters space of the models up to the second (and in some cases third) order of the slow-roll parameters for usual…

General Relativity and Quantum Cosmology · Physics 2017-10-16 M. Shokri

Modified $f(R)$ theories of gravity have been investigated for quite a long time in the literature as a possible explanation for the inflationary period of the universe. The correspondence to General Relativity with an extra scalar field…

General Relativity and Quantum Cosmology · Physics 2023-12-22 Karim H. Seleim , Richa Arya , Sergio E. Jorás

A first-order action for scalar-tensor theories of gravity is proposed. The Hamiltonian analysis of the action gives the desired connection dynamical formalism, which was derived from the geometrical dynamics by canonical transformations.…

General Relativity and Quantum Cosmology · Physics 2013-05-07 Zhenhua Zhou , Haibiao Guo , Yu Han , Yongge Ma

We study the scalar-tensor theory of gravity profoundly in the action level as well as in the thermodynamic level. Contrary to the usual description in the literature about the equivalence in the two conformally connected frames, this paper…

General Relativity and Quantum Cosmology · Physics 2017-05-19 Krishnakanta Bhattacharya , Bibhas Ranjan Majhi

We compute the spectrum of scalar models with a general coupling to the scalar curvature. We find that the perturbative states of these theories are given by two massive spin-0 modes in addition to one massless spin-2 state. This latter…

General Relativity and Quantum Cosmology · Physics 2020-02-12 Ismael Ayuso , Jose A. R. Cembranos

A modified theory of gravity with the function $F(R) = R\exp(\alpha R)$ instead of Ricci scalar $R$ in the Einstein$-$Hilbert action is considered and analyzed. The action of the model is converted into Einstein$-$Hilbert action at small…

General Relativity and Quantum Cosmology · Physics 2013-09-30 S. I. Kruglov

A four dimensional scalar field theory with quartic and of higher power interactions suffers the triviality issue at the quantum level. This is due to coupling constants that, contrary to the physical expectations, seem to grow without a…

High Energy Physics - Theory · Physics 2013-05-30 Artur R. Pietrykowski

We show that pure quadratic gravity with quantum loop corrections yields a viable inflationary scenario. We also show that a large family of models in the Jordan frame, with softly-broken scale invariance, corresponds to the same theory…

General Relativity and Quantum Cosmology · Physics 2017-11-30 Massimiliano Rinaldi
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