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We consider scalar field inflation in the Palatini formulation of general relativity. The covariant derivative of the metric is then non-zero. From the effective theory point of view it should couple to other fields. We write down the most…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Syksy Rasanen

Higgs inflation and $R^2$-inflation (Starobinsky model) are two limits of the same quantum model, hereafter called Starobinsky-Higgs. We analyse the two-loop action of the Higgs-like scalar $\phi$ in the presence of: 1) non-minimal coupling…

High Energy Physics - Phenomenology · Physics 2018-12-05 D. M. Ghilencea

The supersymmetric extension of "Starobinsky" $R+\alpha R^2$ models of inflation is particularly simple in the "new minimal" formalism of supergravity, where the inflaton has no scalar superpartners. This paper is devoted to matter…

High Energy Physics - Theory · Physics 2015-06-22 S. Ferrara , M. Porrati

We apply the multiple point criticality principle to inflationary model building and study Coleman-Weinberg inflation when the scalar potential is quadratic in the logarithmic correction. We analyze also the impact of a non-minimal coupling…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-28 Antonio Racioppi , Jürgen Rajasalu , Kaspar Selke

We show, within the single-field inflationary paradigm, that a linear non-minimal interaction $\xi\,M_P\,\phi\,R$ between the inflaton field $\phi$ and the Ricci scalar $R$ can result in successful inflation that concludes with an efficient…

High Energy Physics - Phenomenology · Physics 2024-04-18 Basabendu Barman , Nicolás Bernal , Javier Rubio

Natural Inflation with non-minimal coupling (NMC) to gravity, embodied by a Lagrangian term $\xi \phi^2 R $, is investigated in the context of an extended gravity of the form $R+ \alpha R^2$. The treatment is performed in the Palatini…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-12 M. AlHallak , N. Chamoun , M. S. Eldaher

We study a model of inflation in which a scalar field $\chi$ is non-minimally coupled to Starobinsky's $R^2$ gravity. After transforming it to the Einstein frame, a new scalar field, the scalaron $\phi$, will appear and couple to $\chi$…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-21 Shi Pi , Ying-li Zhang , Qing-Guo Huang , Misao Sasaki

Natural inflation is an attractive model for primordial inflation, since the potential for the inflaton is of the pseudo Nambu-Goldstone form, $V(\phi)=\Lambda^4 [1+\cos (\phi/f)]$, and so is protected against radiative corrections.…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-19 Ricardo Z. Ferreira , Alessio Notari , Guillem Simeon

In this paper, we consider a nonminimal coupling model between gravity and nonlinear electrodynamics with cosmological constant. This cosmological model is designed to account for both the inflationary epoch of the early universe and the…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Chilwatun Nasiroh , Ramy F. Izzah , Fiki T. Akbar , Bobby E. Gunara

In loop quantum cosmology, the universe avoids a big bang singularity and undergoes an early and short super-inflation phase. During super-inflation, non-perturbative quantum corrections to the dynamics drive an inflaton field up its…

Astrophysics · Physics 2011-02-23 Shinji Tsujikawa , Parampreet Singh , Roy Maartens

We show explicitly how the T-model, E-model, and Hilltop inflations are obtained from the inflation models with a non-canonical kinetic term and an arbitrary potential. By this method, any attractor of observables $n_s$ and $r$ is possible.…

General Relativity and Quantum Cosmology · Physics 2021-06-22 Zhu Yi , Zong-Hong Zhu

In this work we aim to revive the interest for non-minimal derivative coupling theories of gravity, in light of the GW170817 event. These theories include a string motivated non-minimal kinetic term for the scalar field of the form $\sim…

General Relativity and Quantum Cosmology · Physics 2024-02-06 V. K. Oikonomou

We explain why the concept of a spontaneously broken superconformal symmetry is useful to describe inflationary models favored by the Planck. Non-minimal coupling of complex scalars to curvature, N(X, X*) R, is compulsory for superconformal…

High Energy Physics - Theory · Physics 2014-02-05 Renata Kallosh

We present the impact of non-minimal coupling $\xi \phi^2 R$ on the inflationary parameters by taking into account the models of single-field inflation with the inflaton that has a non-zero vacuum expectation value ($v$) after the period of…

General Relativity and Quantum Cosmology · Physics 2021-04-21 Nilay Bostan

We propose a new class of inflationary models in which inflation takes place while the inflaton is climbing up a potential hill due to a coupling to gravity. We study their attractor behavior, and investigate its relation with known…

High Energy Physics - Phenomenology · Physics 2017-08-30 Ryusuke Jinno , Kunio Kaneta

In this paper, we consider a model of tachyon with a non-minimal coupling to gravity and study its cosmological effects. Regarding inflation we will show that for a specific coupling of tachyon to gravity this model satisfies observations…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yun-Song Piao , Qing-Guo Huang , Xinmin Zhang , Yuan-Zhong Zhang

We discuss another approach regarding the inflation from the R^2 theory of gravity originally proposed by Starobinski. A non-singular early cosmology is proposed, where, adding a nonlinear electrodynamics Lagrangian to the high-order…

General Physics · Physics 2011-02-18 Christian Corda , Herman J. Mosquera Cuesta

We reconsider an inflationary model that inflaton field is non-minimally coupled to gravity. We study parameter space of the model up to the second ( and in some cases third ) order of the slow-roll parameters. We calculate inflation…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Kourosh Nozari , S. Shafizadeh

We consider the Gauss-Bonnet term coupled to the inflaton in the Palatini formulation of gravity. Unlike in the metric formulation, the Gauss-Bonnet term is not always a total derivative. We solve for the connection and insert it into the…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-27 Ali Hassan , Syksy Rasanen

We study an inflation mechanism based on attractor properties in cosmological evolutions of a spatially flat Friedmann-Robertson-Walker spacetime based on the Einstein-scalar field theory. We find a new way to get the Hamilton-Jacobi…

General Relativity and Quantum Cosmology · Physics 2013-12-10 Hyeong-Chan Kim