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We study the primordial magnetic field generated by the simple model $f^2 FF$ in Starobinsky, $R^2$-inflationary, model. The scale invariant PMF is achieved at relatively high power index of the coupling function, $\left| \alpha \right|…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-21 Anwar Saleh AlMuhammad

We investigate the generation of magnetic fields from inflation, which occurs via breakdown of the conformal invariance of the electromagnetic (EM) field, when coupled with the Ricci scalar and the Gauss-Bonnet invariant. For the case of…

General Relativity and Quantum Cosmology · Physics 2021-04-14 Kazuharu Bamba , E. Elizalde , S. D. Odintsov , Tanmoy Paul

Models of inflationary magnetogenesis with a coupling to the electromagnetic action of the form $f^2 F_{\mu\nu}F^{\mu\nu}$, are known to suffer from several problems. These include the strong coupling problem, the back reaction problem and…

Cosmology and Nongalactic Astrophysics · Physics 2017-10-18 Ramkishor Sharma , Sandhya Jagannathan , T. R. Seshadri , Kandaswamy Subramanian

Among primordial magnetogenesis models, inflation is a prime candidate to explain the current existence of cosmological magnetic fields. Assuming conformal invariance to be restored after inflation, their energy density decreases as…

Cosmology and Nongalactic Astrophysics · Physics 2012-05-11 Vittoria Demozzi , Christophe Ringeval

By assuming the kinetic coupling $f^{2}(\phi)FF$ of the effective inflaton field $\phi$ with the electromagnetic field, we explore magnetogenesis during the inflation and preheating stages in the Starobinsky model. We consider the case of…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-27 S. Vilchinskii , O. Sobol , E. V. Gorbar , I. Rudenok

The simplest gauge invariant models of inflationary magnetogenesis are known to suffer from the problems of either large backreaction or strong coupling, which make it difficult to self-consistently achieve cosmic magnetic fields from…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-30 Ricardo J. Z. Ferreira , Rajeev Kumar Jain , Martin S. Sloth

We investigate inflationary magnetogenesis in a scenario where conformal invariance of electromagnetism is broken through a \emph{non-minimal Yukawa-like coupling between the inflaton and the Ricci scalar}. We account for electromagnetic…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-14 Orlando Luongo , Antonino Giacomo Marino , Tommaso Mengoni

Recent observational claims of magnetic fields stronger than $10^{-16}$ G in the extragalactic medium motivate a new look for their origin in the inflationary magnetogenesis models. In this work we shall review the constraints on the…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-02 Ricardo J. Z. Ferreira , Rajeev Kumar Jain , Martin S. Sloth

When the gauge fields have derivative couplings to scalars, like in the case of the relativistic theory of Van der Waals (or Casimir-Polder) interactions, conformal invariance is broken but the magnetic and electric susceptibilities are not…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-23 Massimo Giovannini

Recently, there are several reports that the cosmic magnetic fields on Mpc scale in void region is larger than $\sim 10^{-15}$G with an uncertainty of a few orders from the current blazar observations. On the other hand, in inflationary…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Tomohiro Fujita , Shuichiro Yokoyama

We study the generation of helical magnetic fields in a model of inflationary magnetogenesis which is free from the strong coupling and back-reaction problems. To generate helical magnetic fields, we add an $f^2 \tilde{F}^{\mu\nu}…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-11 Ramkishor Sharma , Kandaswamy Subramanian , T. R. Seshadri

We study the generation of electromagnetic fields during inflation when the conformal invariance of Maxwell's action is broken by the kinetic coupling $f^{2}(\phi)F_{\mu\nu}F^{\mu\nu}$ of the electromagnetic field to the inflaton field…

High Energy Physics - Phenomenology · Physics 2018-10-03 O. O. Sobol , E. V. Gorbar , M. Kamarpour , S. I. Vilchinskii

The origin of magnetic fields observed on both astrophysical and cosmological scales is a compelling problem that has the potential to shed light on the early Universe. We analytically investigate inflationary magnetogenesis in scenarios…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-08 Bill Atkins , Debika Chowdhury , Alisha Marriott-Best , Gianmassimo Tasinato

While during inflation a phase of increasing gauge coupling allows for a scale-invariant hyperelectric spectrum, when the coupling decreases a flat hypermagnetic spectrum can be generated for typical wavelengths larger than the effective…

General Relativity and Quantum Cosmology · Physics 2021-06-08 Massimo Giovannini

We present generic bounds on magnetic fields produced from cosmic inflation. By investigating field bounds on the vector potential, we constrain both the quantum mechanical production of magnetic fields and their classical growth in a model…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-10 Daniel Green , Takeshi Kobayashi

In this paper, we discuss the inflationary magnetogenesis scenario, in which the coupling function is introduced to break the conformal invariance of electromagnetic action. Unlike in conventional models, we deduce the Maxwell's equations…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-12 Y. Li , L. Y. Zhang

Inflationary magnetogenesis has long been assumed to be the most promising mechanism for producing large-scale magnetic fields in our universe. However, generically, such models are plagued with either backreaction or strong coupling…

High Energy Physics - Theory · Physics 2021-06-02 Md Riajul Haque , Debaprasad Maity , Sourav Pal

The most studied mechanism of inflationary magnetogenesis relies on the time-dependence of the coefficient of the gauge kinetic term $F_{\mu\nu}\,{F}^{\mu\nu}$. Unfortunately, only extremely finely tuned versions of the model can…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Chiara Caprini , Lorenzo Sorbo

As additional perturbative degrees of freedom, it is known that magnetic fields of inflationary origin can source curvature perturbations on super-Hubble scales. By requiring the magnetic generated curvature to remain smaller than its…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Christophe Ringeval , Teruaki Suyama , Jun'ichi Yokoyama

Recently observational lower bounds on the strength of cosmic magnetic fields were reported, based on gamma-ray flux from distant blazars. If inflation is responsible for the generation of such magnetic fields then the inflation energy…

Cosmology and Nongalactic Astrophysics · Physics 2012-10-23 Tomohiro Fujita , Shinji Mukohyama
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