Generation of an electromagnetic field nonminimally coupled to gravity during Higgs inflation

Abstract

In the framework of Higgs inflation, we consider the electromagnetic field nonminimally coupled to gravity via the parity-preserving $\propto R{F}^2$ and parity-violating $\propto RF\tilde{F}$ terms. Using the perturbation theory to the leading order in these couplings, we study the generation of the electromagnetic field during the inflation stage. We derive the effective kinetic and axial coupling functions arising in the Einstein frame in the usual metric as well as Palatini formulations of gravity. For both formulations, we determine the power spectrum, energy density, and helicality of the generated electromagnetic fields for different values of the nonminimal coupling constants. Finally, we estimate the maximal present-day magnitude of the magnetic field as $10^{-14}-10^{-15}$G with the correlation length of order 10 pc.

23 pages, 10 figures

References in corpus (29)

• 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
• Violent Preheating in Inflation with Nonminimal Coupling
• Consistent generation of magnetic fields in axion inflation models
• Preheating in Palatini Higgs inflation
• The turbulent chiral-magnetic cascade in the early universe
• Challenges in Inflationary Magnetogenesis: Constraints from Strong Coupling, Backreaction and the Schwinger Effect
• Quantum Effects in Palatini Higgs Inflation
• Tracing the high energy theory of gravity: an introduction to Palatini inflation
• Palatini-Higgs inflation with non-minimal derivative coupling
• Gamma-ray observations of blazars and the intergalactic magnetic field spectrum
• Dissipative Axial Inflation
• Influence of the turbulent motion on the chiral magnetic effect in the early Universe
• Inflationary magnetogenesis with reheating phase from higher curvature coupling
• Anomaly-driven inverse cascade and inhomogeneities in a magnetized chiral plasma in the early Universe
• Baryon isocurvature constraints on the primordial hypermagnetic fields
• Revisiting Magnetogenesis during Inflation
• Effective Theory of Inflationary Magnetogenesis and Constraints on Reheating
• Kinetic approach to the Schwinger effect during inflation
• Model-independent constraints in inflationary magnetogenesis
• Primordial Magnetogenesis in a Bouncing Universe
• Inflationary magnetogenesis with helical coupling
• Magnetogenesis in Higgs inflation

Cited by in corpus (4)

• Backreaction from gauge fields produced during inflation
• Magnetogenesis in Higgs-Starobinsky inflation
• Baryogenesis from Higgs Inflation
• Vector dark matter production during inflation in the gradient-expansion formalism