Magnetogenesis in Higgs-Starobinsky inflation

Abstract

In the framework of mixed Higgs-Starobinsky inflation, we consider the generation of Abelian gauge fields due to their nonminimal coupling to gravity (in two different formulations of gravity -- metric and Palatini). We couple the gauge-field invariants $F_{\mu \nu }{F}^{\mu \nu }$ and $F_{\mu \nu }{\tilde{F}}^{\mu \nu }$ to an integer power of the scalar curvature $R^n$ in Jordan frame and, treating these interactions perturbatively, switch to the Einstein frame where they lead to effective kinetic and axial couplings between gauge fields and inflaton. We determine the power spectra, energy densities, correlation length, and helicality of the generated gauge fields for different values of the nonminimal coupling constants and parameter $n$. We analytically estimate the spectral index $n_B$ of the magnetic power spectrum and show that for $n>1$ it is possible to get the scale-invariant or even red-tilted spectrum for a wide range of modes that implies larger correlation length of the generated fields. On the other hand, the magnitude of these fields typically decreases in time becoming very small in the end of inflation. Thus, it is difficult to obtain both large magnitude and correlation length of the gauge field in the frame of this model.

arXiv comment20 pages, 7 figures

References in corpus (78)

• Planck 2018 results. X. Constraints on inflation
• The Standard Model Higgs boson as the inflaton
• Encyclopaedia Inflationaris
• Magnetic Fields in the Early Universe
• Evidence for strong extragalactic magnetic fields from Fermi observations of TeV blazars
• Origin of Galactic and Extragalactic Magnetic Fields
• Cosmological Magnetic Fields: Their Generation, Evolution and Observation
• Superconformal Inflationary $\alpha$-Attractors
• The origin, evolution and signatures of primordial magnetic fields
• Minimal Supergravity Models of Inflation
• The intergalactic magnetic field constrained by Fermi/LAT observations of the TeV blazar 1ES 0229+200
• The Magnetized Universe
• Primordial magnetogenesis
• EGMF Constraints from Simultaneous GeV-TeV Observations of Blazars
• Gauge Field Production in Axion Inflation: Consequences for Monodromy, non-Gaussianity in the CMB, and Gravitational Waves at Interferometers
• Primordial magnetic fields from pseudo-Goldstone bosons
• Naturally inflating on steep potentials through electromagnetic dissipation
• Lower limit on the strength and filling factor of extragalactic magnetic fields
• Generation of Large-Scale Magnetic Fields in Single-Field Inflation
• Magnetic fields from inflation?
• Inflation with Non-Minimal Coupling: Metric vs. Palatini Formulations
• N-flationary magnetic fields
• Primordial Magnetic Fields from Cosmological First Order Phase Transitions
• Breaking Of Conformal Invariance And Electromagnetic Field Generation In The Universe
• Time Delay of Cascade Radiation for TeV Blazars and the Measurement of the Intergalactic Magnetic Field
• Generation of the Primordial Magnetic Fields during Cosmological Reionization
• Inflation and late-time cosmic acceleration in non-minimal Maxwell-$F(R)$ gravity and the generation of large-scale magnetic fields
• Higgs inflation
• Large-scale magnetic fields from inflation in dilaton electromagnetism
• Gauge-preheating and the end of axion inflation
• Evidence for Gamma-Ray Halos Around Active Galactic Nuclei and the First Measurement of Intergalactic Magnetic Fields
• Magnetogenesis from axion inflation
• Cosmological Magnetic Fields from Inflation and Backreaction
• Higgs Scalaron Mixed Inflation
• Adding helicity to inflationary magnetogenesis
• Classical and Quantum Initial Conditions for Higgs Inflation
• Can slow roll inflation induce relevant helical magnetic fields?
• Inflationary Magnetogenesis without the Strong Coupling Problem
• Palatini inflation in models with an $R^2$ term
• Consistent generation of magnetic fields in axion inflation models
• Gauge Field and Fermion Production during Axion Inflation
• Inflation with $R^2$ term in the Palatini formalism
• Scalaron the healer: removing the strong-coupling in the Higgs- and Higgs-dilaton inflations
• Inflation in the Mixed Higgs-$R^2$ Model
• Reheating in $R^2$ Palatini inflationary models
• Higgs Starobinsky Inflation
• Magnetic field generation in first order phase transition bubble collisions
• Hypermagnetic Fields and Baryon Asymmetry from Pseudoscalar Inflation
• Inflationary Magnetogenesis without the Strong Coupling Problem II: Constraints from CMB anisotropies and B-modes
• Lattice formulation of axion inflation. Application to preheating
• Stability of Horndeski vector-tensor interactions
• Challenges in Inflationary Magnetogenesis: Constraints from Strong Coupling, Backreaction and the Schwinger Effect
• On the variation of the gauge couplings during inflation
• Backreaction of electromagnetic fields and the Schwinger effect in pseudoscalar inflation magnetogenesis
• Quantum Effects in Palatini Higgs Inflation
• Tracing the high energy theory of gravity: an introduction to Palatini inflation
• Primordial perturbations generated by Higgs field and $R^2$ operator
• The Origin of the Magnetic Fields of the Universe: The Plasma Astrophysics of the Free Energy of the Universe
• Gamma-ray observations of blazars and the intergalactic magnetic field spectrum
• Dissipative Axial Inflation
• A simple $F(\mathcal{R},\varphi )$ deformation of Starobinsky inflationary model
• Influence of backreaction of electric fields and Schwinger effect on inflationary magnetogenesis
• An upper limit on the strength of the extragalactic magnetic field from ultra-high-energy cosmic-ray anisotropy
• Solving the Standard Model Problems in Softened Gravity
• Improved CMB anisotropy constraints on primordial magnetic fields from the post-recombination ionization history
• Inflationary magnetogenesis with reheating phase from higher curvature coupling
• Current and Future Constraints on Primordial Magnetic Fields
• Magnetogenesis during inflation and preheating in the Starobinsky model
• Revisiting Magnetogenesis during Inflation
• Effective Theory of Inflationary Magnetogenesis and Constraints on Reheating
• Probing large-scale magnetism with the Cosmic Microwave Background
• Viable inflationary magnetogenesis with helical coupling
• Model-independent constraints in inflationary magnetogenesis
• Magnetogenesis by non-minimal coupling to gravity in the Starobinsky inflationary model
• Inflationary magnetogenesis with helical coupling
• Primordial Helical Magnetic Fields from Inflation?
• Generation of an electromagnetic field nonminimally coupled to gravity during Higgs inflation
• Magnetogenesis in Higgs inflation

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• Inflation and reheating in quadratic metric-affine gravity with derivative couplings
• General Einstein-Cartan quadratic gravity with derivative couplings
• Baryogenesis in $R^2$-Higgs Inflation: the Gravitational Connection
• Baryogenesis from Higgs Inflation
• Super-horizon resonant magnetogenesis during inflation
• Gravitational Waves sourced by Gauge Fields during Inflation
• Effective field theory of magnetogenesis identify necessary and sufficient conditions
• Gravitational waves in minimal Maxwell $f(R)$ gravity
• Vector dark matter production during inflation in the gradient-expansion formalism
• Non-perturbative approach for scalar particle production in Higgs-$R^2$ inflation
• Sensitivity of the redshifted 21 cm signal from the Dark Ages to parameters of primordial magnetic fields
• Scalar-assisted magnetogenesis during the radiation-dominated epoch
• The Impact of Inhomogeneous Perturbations of the Inflaton on the Cosmological Primordial Magnetic Field
• Cosmic inflation in metric-affine gravity
• Inflationary assessment of $F(\mathcal{R},\tilde{\mathcal{R}})$ Einstein-Cartan models