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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

We compare Higgs inflation in the metric and Palatini formulations of general relativity, with loop corrections are treated in a simple approximation. We consider Higgs inflation on the plateau, at a critical point, at a hilltop and in a…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-30 Syksy Rasanen , Pyry Wahlman

We present an introduction to cosmic inflation in the framework of Palatini gravity, which provides an intriguing alternative to the conventional metric formulation of gravity. In the latter, only the metric specifies the spacetime…

General Relativity and Quantum Cosmology · Physics 2025-01-23 Ioannis D. Gialamas , Alexandros Karam , Thomas D. Pappas , Eemeli Tomberg

We study quantum effects in Higgs inflation in the Palatini formulation of gravity, in which the metric and connection are treated as independent variables. We exploit the fact that the cutoff, above which perturbation theory breaks down,…

High Energy Physics - Phenomenology · Physics 2020-08-25 Mikhail Shaposhnikov , Andrey Shkerin , Sebastian Zell

We present an introduction to cosmic inflation in the context of Palatini gravity, which is an interesting alternative to the usual metric theory of gravity. In the latter case only the metric $g_{\mu\nu}$ determines the geometry of…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-10 Tommi Tenkanen

In the Higgs inflation scenario the Higgs field is strongly coupled to the Ricci scalar in order to drive primordial inflation. However, in its original form in pure metric formulation of gravity, the ultraviolet (UV) cutoff of the Higgs…

High Energy Physics - Phenomenology · Physics 2011-04-19 Florian Bauer , Durmus A. Demir

We study inflation with the most general non-degenerate gravitational action that depends on the symmetric part of the Ricci tensor coupled to a scalar field in the Palatini formulation of gravity. We use field redefinitions to shift the…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-24 Jaakko Annala , Syksy Rasanen

In the conventional metric formulation of gravity, the Higgs Inflation model violates unitarity in the electroweak vacuum in Higgs scattering at the energy scale $\Lambda \sim M_{Pl}/\xi$, where $\xi \sim 10^4$ is the non-minimal coupling…

High Energy Physics - Phenomenology · Physics 2021-05-05 J. McDonald

In this paper by deriving the Modified Friedmann equation in the Palatini formulation of $R^2$ gravity, first we discuss the problem of whether in Palatini formulation an additional $R^2$ term in Einstein's General Relativity action can…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Xin He Meng , Peng Wang

The Palatini formulation has been successful in the development of several alternative theories of gravity. It is well understood that the Palatini and metric formulations are equivalent in minimally coupled scalar-tensor models, but…

General Relativity and Quantum Cosmology · Physics 2025-03-11 Sotirios Karamitsos

We investigate the sensitivity of Higgs(-like) inflation to higher dimensional operators in the nonminimal couplings and in the potential, both in the metric and Palatini formalisms. We find that, while inflationary predictions are…

High Energy Physics - Phenomenology · Physics 2020-04-03 Ryusuke Jinno , Mio Kubota , Kin-ya Oda , Seong Chan Park

We study scalar field inflation in $F(R)$ gravity in the Palatini formulation of general relativity. Unlike in the metric formulation, in the Palatini formulation $F(R)$ gravity does not introduce new degrees of freedom. However, it changes…

General Relativity and Quantum Cosmology · Physics 2019-02-13 Vera-Maria Enckell , Kari Enqvist , Syksy Rasanen , Lumi-Pyry Wahlman

We consider the Chern--Simons term coupled to the inflaton in the Palatini formulation of general relativity. In contrast to the metric formulation, here the Chern--Simons term affects also the background evolution. We approximately solve…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-11 Ali Hassan , Syksy Rasanen

With a scalar field non-minimally coupled to curvature, the underlying geometry and variational principle of gravity - metric or Palatini - becomes important and makes a difference, as the field dynamics and observational predictions…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Laur Järv , Alexandros Karam , Aleksander Kozak , Angelos Lykkas , Antonio Racioppi , Margus Saal

We consider a formulation of gauge field theory where the gauge field $A_\alpha$ and the field strength $F_{\alpha\beta}$ are independent variables, as in the Palatini formulation of gravity. For the simplest gauge field action, this is…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-30 Syksy Rasanen , Yosef Verbin

We study Higgs inflation in the Palatini formulation with the renormalisation group improved potential in the case when loop corrections generate a feature similar to an inflection point. Assuming that there is a threshold correction for…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-13 Vera-Maria Enckell , Sami Nurmi , Syksy Rasanen , Eemeli Tomberg

In this work, we study inflation with the non-minimally coupled quadratic, Standard Model (SM) Higgs and hilltop potentials through $\xi \phi^2R$ term in the Palatini gravity. We first analyze observational parameters of Palatini quadratic…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-11 Nilay Bostan

We study inflation driven by the Higgs field in the Einstein-Cartan formulation of gravity. In this theory, the presence of the Holst and Nieh-Yan terms with the Higgs field non-minimally coupled to them leads to three additional coupling…

High Energy Physics - Phenomenology · Physics 2021-10-22 Mikhail Shaposhnikov , Andrey Shkerin , Inar Timiryasov , Sebastian Zell

For inflation driven by the Higgs field coupled non-minimally to gravity, we study the cutoff energy scale above which perturbation theory breaks down. Employing the metric formulation, we first give an overview of known results and then…

High Energy Physics - Phenomenology · Physics 2023-07-18 Georgios K. Karananas , Mikhail Shaposhnikov , Sebastian Zell

We investigate inflation driven by the Higgs boson in the Palatini formulation of General Relativity. Our analysis primarily focuses on a small non-minimal coupling of the Higgs field to gravity in the range $0<\xi\lesssim 1$. We…

High Energy Physics - Phenomenology · Physics 2023-06-07 Arthur Poisson , Inar Timiryasov , Sebastian Zell
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