Chirality production during axion inflation

Abstract

We study the generation of the chiral charge during axion inflation where the pseudoscalar inflaton field $\varphi$ couples axially to the electromagnetic field through the term $(\beta /M_p)\varphi \mathbf{E}\cdot \mathbf{B}$ with dimensionless coupling constant $\beta$. To describe the evolution of electromagnetic field and determine $⟨\mathbf{E}\cdot \mathbf{B}⟩$ sourcing the chiral asymmetry during inflation due to the chiral anomaly, we employ the gradient expansion formalism. It operates with a set of vacuum expectation values of bilinear electromagnetic functions and allows us to take into account the backreaction of generated fields on the inflaton evolution as well as the Schwinger production of charged fermions. In addition, we include the chiral magnetic effect contribution to the electric current ${\mathbf{j}}_{\mathrm{CME}}=e^2/(2{\pi }^2){\mu }_5\mathbf{B}$, where ${\mu }_5$ is the chiral chemical potential which quantifies the chiral charge production. Solving a set of equations for the inflaton field, scale factor, quadratic functions of the electromagnetic field, and the chiral charge density (chiral chemical potential), we find that the chirality production is quite efficient leading to the generation of a large chemical potential at the end of axion inflation.

13 pages, 2 figures. arXiv admin note: text overlap with arXiv:2109.01651

References in corpus (23)

• Lower limit on the strength and filling factor of extragalactic magnetic fields
• N-flationary magnetic fields
• Adding helicity to inflationary magnetogenesis
• Schwinger Effect in 4D de Sitter Space and Constraints on Magnetogenesis in the Early Universe
• Consistent generation of magnetic fields in axion inflation models
• Baryon Asymmetry and Gravitational Waves from Pseudoscalar Inflation
• Gauge-field production during axion inflation in the gradient expansion formalism
• The turbulent chiral-magnetic cascade in the early universe
• Chiral Anomaly, Schwinger Effect, Euler-Heisenberg Lagrangian, and application to axion inflation
• The Gamma-Ray Window to Intergalactic Magnetism
• Gamma-ray observations of blazars and the intergalactic magnetic field spectrum
• Dissipative Axial Inflation
• Classicality of the primordial perturbations
• Effect of a magnetic field on Schwinger mechanism in de Sitter spacetime
• Influence of the turbulent motion on the chiral magnetic effect in the early Universe
• Schwinger Mechanism During Inflation
• A New Model for Gamma-Ray Cascades in Extragalactic Magnetic Fields
• Anomaly-driven inverse cascade and inhomogeneities in a magnetized chiral plasma in the early Universe
• Cosmological Relaxation through the Dark Axion Portal
• Kinetic approach to the Schwinger effect during inflation
• Model-independent constraints in inflationary magnetogenesis
• Schwinger production of scalar particles during and after inflation from the first principles
• Inflationary magnetogenesis with helical coupling

Cited by in corpus (6)

• On the Schwinger effect during axion inflation
• On Sphaleron Heating in the Presence of Fermions
• Gravitational waves from axion inflation in the gradient expansion formalism. Part I. Pure axion inflation
• Gravitational waves from axion inflation in the gradient expansion formalism. Part II. Fermionic axion inflation
• First-order CP phase transition in two-flavor QCD at $\theta =\pi$ under electromagnetic scale anomaly via a Nambu-Jona-Lasinio description
• Vector dark matter production during inflation in the gradient-expansion formalism