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In this paper, we employ the Palatini formalism to investigate the dynamics of large-field inflation using a renormalizable polynomial inflaton potential in the context of $f(R,\phi)$ gravity. Assuming instant reheating, we make a…

宇宙学与河外天体物理 · 物理学 2025-02-20 Nilay Bostan , Canan Karahan , Ozan Sargın

We study single-field slow-roll inflation embedded in Palatini $F(R)$ gravity where $F(R)$ grows faster than $R^2$. Surprisingly, the consistency of the theory requires the Jordan frame inflaton potential to be unbounded from below. Even…

广义相对论与量子宇宙学 · 物理学 2024-03-21 Christian Dioguardi , Antonio Racioppi , Eemeli Tomberg

We consider, in Palatini formalism, a modified gravity of which the scalar field derivative couples to Einstein tensor. In this scenario, Ricci scalar, Ricci tensor and Einstein tensor are functions of connection field. As a result, the…

广义相对论与量子宇宙学 · 物理学 2018-03-20 Narakorn Kaewkhao , Burin Gumjudpai

We reconsider the fine-tuning problem of scalar-driven inflation arising from the need to couple the inflaton to ordinary matter in order to make reheating efficient. Quantum fluctuations of this matter induce Coleman-Weinberg corrections…

广义相对论与量子宇宙学 · 物理学 2019-11-13 S. P. Miao , S. Park , R. P. Woodard

We consider ${\cal{R}}^2$-inflation in Palatini gravity, in the presence of scalar fields coupled to gravity. These theories, in the Einstein frame, and for one scalar field $h$, share common features with $K$ - inflation models. We apply…

广义相对论与量子宇宙学 · 物理学 2023-01-11 A. B. Lahanas

We focus on the inflationary predictions of $\beta$-exponential potential models, in which the inflaton is a representation of the field delineating the size of extra-dimension. Since it offers a well-motivated starting point for the study…

宇宙学与河外天体物理 · 物理学 2024-09-17 Nilay Bostan , Rafid H. Dejrah

We examine a scalar-tensor model of gravity that is globally scale-invariant. When adapted to a spatially flat Robertson-Walker metric, the equations of motion describe a dynamical system that flows from an unstable de Sitter space to a…

广义相对论与量子宇宙学 · 物理学 2023-06-27 Massimiliano Rinaldi , Chiara Cecchini , Anish Ghoshal , Debangshu Mukherjee

We propose an inflation model in which the inflationary era is driven by the strong dynamics of $Sp(2)$ gauge theory. The quark condensation in the confined phase of $Sp(2)$ gauge theory generates the inflaton potential comparable to the…

高能物理 - 唯象学 · 物理学 2023-02-22 Gongjun Choi , Weikang Lin , Tsutomu T. Yanagida

In the context of Palatini gravity, $F(R+X)$ models, with X the inflaton kinetic term, are characterized by the appealing property of generating asymptotically flat inflaton potentials, exactly like the more commonly studied Palatini $F(R)$…

广义相对论与量子宇宙学 · 物理学 2025-12-22 N. Bostan , R. H. Dejrah , C. Dioguardi , A. Racioppi

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…

广义相对论与量子宇宙学 · 物理学 2023-05-05 Anish Ghoshal , Debangshu Mukherjee , Massimiliano Rinaldi

BICEP2 measurement of primordial tensor modes in CMB suggests that cosmological inflation is due to a slowly rolling inflaton taking trans-Planckian values and provides further experimental evidence for the absence of large $M_{\rm P}$…

高能物理 - 唯象学 · 物理学 2014-12-10 Antonio Racioppi

We propose a mechanism where the dynamical generation of the Planck mass in scale invariant gravity leads to Einstein gravity, successful inflation and an explanation of the hierarchy problem of the Standard Model. We will discuss the scale…

高能物理 - 唯象学 · 物理学 2025-12-01 Thede de Boer , Jisuke Kubo , Manfred Lindner , Markus Reinig

One of the fundamental objectives of contemporary cosmology is to understand the physics of the inflationary universe, owing to its observably verifiable predictions about the very early universe with an energy scale of $\sim 10^{16}$ GeV.…

宇宙学与河外天体物理 · 物理学 2026-04-14 Aayush Randeep , Rajib Saha

We present a comparative study of inflation in two theories of quadratic gravity with {\it gauged} scale symmetry: 1) the original Weyl quadratic gravity and 2) the theory defined by a similar action but in the Palatini approach obtained by…

高能物理 - 理论 · 物理学 2021-06-30 D. M. Ghilencea

In scale-invariant theories of gravity the Planck mass $M_P$, which appears due to spontaneous symmetry breaking, can be the only scale at the classical level. It was argued that the second scale can be generated by a quantum…

高能物理 - 理论 · 物理学 2019-06-24 Andrey Shkerin

Weyl (scale) invariant theories of scalars and gravity can generate all mass scales spontaneously. In this paper we study a particularly simple version -- scale invariant $R^2$ gravity -- and show that, during an inflationary period, it…

广义相对论与量子宇宙学 · 物理学 2019-12-18 Pedro G. Ferreira , Christopher T. Hill , Johannes Noller , Graham G. Ross

In this paper, we explore the inflationary dynamics of the $\beta$-exponential potential model, where a scalar field couples to quadratic $(R + R^2)$ gravity. In this model, the inflaton is the field that determines the size of the extra…

广义相对论与量子宇宙学 · 物理学 2026-01-15 Ozan Sargın

We study non-minimally coupled scalar-induced multi-phase inflation in metric and Palatini gravity, considering linear, Brans-Dicke-like, and Higgs-like sectors. The scalar spectral index lies in the range \( n_s \simeq 0.93 \ \text{--} \…

高能物理 - 唯象学 · 物理学 2026-04-14 Nilay Bostan , Rafid H. Dejrah , Anish Ghoshal , Zygmunt Lalak

We study models of inflation where the scalar field $\phi$ that drives inflation is coupled non-minimally to gravity via $\xi \phi^2 R$, or where the gravity sector is enlarged by an $R^2$ term. We consider the original Higgs inflation,…

宇宙学与河外天体物理 · 物理学 2019-05-01 Tomo Takahashi , Tommi Tenkanen

We consider $R^2$ inflation in the Palatini gravity assuming the existence of scalar fields, coupled to gravity in the most general manner. These theories, in the Einstein frame, and for one scalar field $h$, share common features with $K$…

广义相对论与量子宇宙学 · 物理学 2020-04-08 Ioannis D. Gialamas , A. B. Lahanas