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.

20 pages, 7 figures

References in corpus (15)

• The Standard Model Higgs boson as the inflaton
• 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
• Inflation and late-time cosmic acceleration in non-minimal Maxwell-$F(R)$ gravity and the generation of large-scale magnetic fields
• Adding helicity to inflationary magnetogenesis
• Consistent generation of magnetic fields in axion inflation models
• Challenges in Inflationary Magnetogenesis: Constraints from Strong Coupling, Backreaction and the Schwinger Effect
• Gamma-ray observations of blazars and the intergalactic magnetic field spectrum
• Dissipative Axial Inflation
• Inflationary magnetogenesis with reheating phase from higher curvature coupling
• Inflationary magnetogenesis with helical coupling
• Primordial Helical Magnetic Fields from Inflation?

Cited by in corpus (18)

• Inflation in Metric-Affine Quadratic Gravity
• Implications of Palatini gravity for inflation and beyond
• Backreaction from gauge fields produced during inflation
• 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