The Stochastic Schwinger Effect

Abstract

We formulate a stochastic generalisation of the Schwinger effect, extending pair production to statistically fluctuating gauge-field backgrounds. Our approach captures realistic field configurations that are transient, inhomogeneous, and stochastic, as commonly encountered in cosmological and high-energy astrophysical settings. Using the effective action formalism, we compute the vacuum decay rate and number density of charged particles, obtaining closed-form analytical expressions for both scalar and fermionic cases. To isolate the essential physics, the analysis is performed in flat spacetime and at zero temperature, providing a controlled setting in which curvature and thermal effects can be neglected. As a proof of concept, we present representative phenomenological examples relevant to astrophysical plasmas and early-Universe-motivated scenarios.

Minor corrections; accepted in JHEP

References in corpus (28)

• Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
• The Dark Photon
• Leptogenesis from Gravity Waves in Models of Inflation
• Heisenberg-Euler Effective Lagrangians : Basics and Extensions
• Dark photon limits: a handbook
• Non-Abelian Gauge Field Inflation
• Gauge-preheating and the end of axion inflation
• Making dark matter out of light: freeze-in from plasma effects
• Schwinger Pair Production in Electric and Magnetic Fields
• Schwinger Effect in 4D de Sitter Space and Constraints on Magnetogenesis in the Early Universe
• Improved Approximations for Fermion Pair Production in Inhomogeneous Electric Fields
• Out-of-equilibrium criticalities in graphene superlattices
• Thermal Schwinger pair production at arbitrary coupling
• Chiral Gravity Waves and Leptogenesis in Inflationary Models with non-Abelian Gauge Fields
• Schwinger Effect by an $SU(2)$ Gauge Field during Inflation
• Effect of a magnetic field on Schwinger mechanism in de Sitter spacetime
• Gravitational Leptogenesis in the Axion Inflation with an SU(2) gauge field
• Production and Backreaction of Fermions from Axion-$SU(2)$ Gauge Fields during Inflation
• Lattice simulations of Abelian gauge fields coupled to axions during Inflation
• Axion assisted Schwinger effect
• SU(2)${}_R$ and its Axion in Cosmology: A common Origin for Inflation, Cold Sterile Neutrinos, and Baryogenesis
• Gauge preheating with full general relativity
• Dark Fermions and Spontaneous $CP$ violation in $SU(2)$-axion Inflation
• On the Schwinger effect during axion inflation
• Lattice simulations of axion-U(1) inflation: gravitational waves, magnetic fields, and scalar statistics
• Photon Chiral Memory Effect Stored on Celestial Sphere
• New Source for QCD Axion Dark Matter Production: Curvature Induced
• Plausible constraints and inflationary production for dark photons