The Electrical Conductivity in the Early Universe

Abstract

We calculate the electrical conductivity in the early universe at temperatures below as well as above the electroweak vacuum scale, $T_c\simeq 100$GeV. Debye and dynamical screening of electric and magnetic interactions leads to a finite conductivity, ${\sigma }_{el}\sim T/\alpha \ln (1/\alpha )$, at temperatures well below $T_c$. At temperatures above, $W^{\pm }$ charge-exchange processes -- analogous to color exchange through gluons in QCD -- effectively stop left-handed charged leptons. However, right-handed leptons can carry current, resulting in ${\sigma }_{el}/T$ being only a factor $\sim {\cos }^4{\theta }_W$ smaller than at temperatures below $T_c$.

11 pages including 2 figures

References in corpus (11)

• Is There a Hot Electroweak Phase Transition at $m_H\gsim m_W$?
• 3D Physics and the Electroweak Phase Transition: Perturbation Theory
• Primordial Magnetic Fields from Cosmological First Order Phase Transitions
• Magnetic Fields Produced by Phase Transition Bubbles in the Electroweak Phase Transition
• Viscosities of Quark-Gluon Plasmas
• Ferromagnetic Vacuum and Galactic Magnetic Fields
• Color Diffusion and Conductivity in a Quark-Gluon Plasma
• Lifetime of quasiparticles in hot QED plasmas
• Electrical conductivity in the early universe
• Color, Spin and Flavor Diffusion in Quark-Gluon Plasmas
• Dirac Neutrinos and Primordial Magnetic Fields

Cited by in corpus (91)

• Cosmological Backgrounds of Gravitational Waves
• Transport coefficients in high temperature gauge theories: (II) Beyond leading log
• The origin, evolution and signatures of primordial magnetic fields
• Primordial Hypermagnetic Fields and Triangle Anomaly
• Causal Theories of Dissipative Relativistic Fluid Dynamics for Nuclear Collisions
• Self-consistent evolution of magnetic fields and chiral asymmetry in the early Universe
• Estimate of the primordial magnetic field helicity
• Magnetogenesis from axion inflation
• Primordial Magnetic Fields via Spontaneous Breaking of Lorentz Invariance
• Progress on Cosmological Magnetic Fields
• Semi-classical transport theory for non-Abelian plasmas
• Consistent generation of magnetic fields in axion inflation models
• Gauge Field and Fermion Production during Axion Inflation
• Chiral Effects and Cosmic Magnetic Fields
• Electric conductivity of the quark-gluon plasma investigated using a perturbative QCD based parton cascade
• Large-scale magnetic fields can explain the baryon asymmetry of the Universe
• Shear Viscosity Coefficient from Microscopic Models
• Baryon Asymmetry and Gravitational Waves from Pseudoscalar Inflation
• Baryogenesis from axion inflation
• Long-range magnetic fields in the ground state of the Standard Model plasma
• Transport coefficients and ladder summation in hot gauge theories
• Gravitational Waves and Dark Photon Dark Matter from Axion Rotations
• Hypermagnetic Knots, Chern-Simons Waves and the Baryon Asymmetry
• Constraints on the Electrical Charge Asymmetry of the Universe
• Small shear viscosity in the semi quark gluon plasma
• Leptogenesis and Primordial Magnetic Fields
• Strongly first order electroweak phase transition induced by primordial hypermagnetic fields
• Generation of Cosmic Magnetic Fields and Gravitational Waves at Neutrino Decoupling
• Anomalous non-conservation of fermion/chiral number in Abelian gauge theories at finite temperature
• Scale-invariant Helical Magnetic Fields from Inflation
• Ward identity and electrical conductivity in hot QED
• Mesoscopic Fluctuations in Stochastic Spacetime
• Shear viscosity $\eta$ to electrical conductivity ${\sigma }_{el}$ ratio for an anisotropic QGP
• Magnetic fields from inflation: the transition to the radiation era
• Return of the grand unified theory baryogenesis: Source of helical hypermagnetic fields for the baryon asymmetry of the universe
• Implications of a Primordial Magnetic Field for Magnetic Monopoles, Axions, and Dirac Neutrinos
• Ultrasoft Amplitudes in Hot QCD
• Magnetic field generation from non-equilibrium phase transitions
• Magnetic fields from inflation: The CMB temperature anisotropies
• Large scale magnetogenesis from a non-equilibrium phase transition in the radiation dominated era
• Impact of quark quasiparticles on transport coefficients in hot QCD
• Anomaly-driven inverse cascade and inhomogeneities in a magnetized chiral plasma in the early Universe
• Meissner Effect and Vortex Dynamics in Quark Stars -- A Model for Soft Gamma-Ray Repeaters
• Baryon isocurvature constraints on the primordial hypermagnetic fields
• Electrical conductivity and relaxation via colored noise in a hadronic gas
• Dynamical renormalization group approach to transport in ultrarelativistic plasmas: the electrical conductivity in high temperature QED
• Transport coefficients in the early universe
• Renormalized Linear Kinetic Theory as Derived from Quantum Field Theory - a novel diagrammatic method for computing transport coefficients -
• Cross-conductivity: novel transport coefficients to constrain the hadronic degrees of freedom of nuclear matter
• Resonant magnetogenesis from axions
• A new constraint on primordial lepton flavour asymmetries
• Amplification of hypercharge electromagnetic fields by a cosmological pseudoscalar
• Phase Equilibration and Magnetic Field Generation in U(1) Bubble Collisions
• Electroweak baryogenesis induced by a scalar field
• Equilibration of the chiral asymmetry due to finite electron mass in electron-positron plasma
• Shear viscosity to entropy density ratio in the Boltzmann-Uehling-Uhlenbeck model
• Electroweak Origin of Cosmological Magnetic Fields
• Electrical conductivity of Hot and Dense QCD matter at RHIC BES energies: A Color String Percolation Approach
• Chiral Charge Erasure via Thermal Fluctuations of Magnetic Helicity
• Non-equilibrium quantum plasmas in scalar QED: photon production, magnetic and Debye masses, and conductivity
• Optically opaque color-flavor locked phase inside compact stars
• Primordial magnetic field and kinetic theory with Berry curvature
• Electric Conductivity of a hot hadron gas from a kinetic approach
• Current-Conserving Relativistic Linear Response for Collisional Plasmas
• Chiral magnetohydrodynamics with zero total chirality
• Primordial magnetic seed field amplification by gravitational waves
• Modified Magnetohydrodynamics Around the Electroweak Transition
• Magnetic fields and chiral asymmetry in the early hot universe
• Evolution of Primordial Neutrino Helicities in Cosmic Gravitational Inhomogeneities
• Magnetogenesis from a rotating scalar: à la scalar chiral magnetic effect
• Baryogenesis via gauge field production from a relaxing Higgs
• Electrical conductivity of hot relativistic plasma in a strong magnetic field
• Generation of an electromagnetic field nonminimally coupled to gravity during Higgs inflation
• Magnetogenesis in Cyclical Universe
• Magnetic Field Transfer From A Hidden Sector
• Landau-Pomeranchuck-Migdal effect in a quark-gluon plasma and the Boltzmann equation
• Gauge Field Production and Schwinger Reheating in Runaway Axion Inflation
• Scalaron dark matter and the thermal history of the universe
• A Cautionary Note on Cosmological Magnetic Fields
• Higher-form symmetry and chiral transport in real-time Abelian lattice gauge theory
• Crossovers in Unitary Fermi Systems
• Third order viscous hydrodynamics from the entropy four current
• Can galactic magnetic fields diffuse into the voids?
• Magnetic monopole in a chiral plasma: chiral dyon
• Unplugging the Universe: the neglected electromagnetic consequence of decoupling
• Generating Seed magnetic field à la Chiral Biermann battery
• Primordial magnetogenesis before recombination
• Gravitational waves from the evolution of magnetic field after electroweak epoch
• Quarks to Cosmos: Particles and Plasma in Cosmological evolution
• Scalar-assisted magnetogenesis during the radiation-dominated epoch
• Electrical conductivity of hot Abelian plasma with scalar charge carriers