Quantum Kinetic Theory for Quantum Electrodynamics

Abstract

We derive a quantum kinetic theory for QED based on Kadanoff-Baym equations for Wigner functions. By assuming parity invariance and considering a complete set of self-energy diagrams, we find the resulting kinetic theory expanded to lowest order in $\hslash$ generalizes the well-known classical kinetic theory to massive case. It contains elastic and inelastic collision terms and integrates screening effect naturally. For a given solution to the classical kinetic theory, we find at next order in $\hslash$ a non-dynamical quantum correction to Wigner functions for both fermions and photons, which gives rise to spin polarization for fermion and photon respectively. The approach allows us to study the non-dynamical part of collisional effect on spin polarization phenomenon.

50 pages, 14 figures. Introduction rewritten and discussions on spin polarization refined

References in corpus (20)

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• Gravitational Anomaly and Transport
• Quantum Anomalies in Dense Matter
• Relativistic Hydrodynamics with General Anomalous Charges
• Lorentz Invariance in Chiral Kinetic Theory
• Fate of spin polarization in a relativistic fluid: An entropy-current analysis
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• Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation
• Spin polarization induced by the hydrodynamic gradients
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• Mass Correction to Chiral Kinetic Equations
• Ideal spin hydrodynamics from Wigner function approach
• A consistent description of kinetic equation with triangle anomaly
• Relativistic Viscous Hydrodynamics with Angular Momentum
• Massless Limit of Transport Theory for Massive Fermions
• Magneto-vortical Effect in Strong Magnetic Field
• Damping and polarization rates in near equilibrium state
• Covariant Chiral Kinetic Equation in Non-Abelian Gauge field from "covariant gradient expansion"

Cited by in corpus (23)

• Foundations and Applications of Quantum Kinetic Theory
• Chiral effects in astrophysics and cosmology
• Relativistic Viscous Hydrodynamics with Angular Momentum
• Local and global polarization of $\Lambda$ hyperons across RHIC-BES energies: the roles of spin hall effect, initial condition and baryon diffusion
• Strong-Field Physics in QED and QCD: From Fundamentals to Applications
• Hydrodynamics, spin currents and torsion
• Quantum kinetic theory for dynamical spin polarization from QED-type interaction
• Spin relaxation rate for heavy quarks in weakly coupled QCD plasma
• Analytic solutions of relativistic dissipative spin hydrodynamics with radial expansion in Gubser flow
• Hydrodynamic helicity polarization in relativistic heavy ion collisions
• Axion-Photon Conversion in 3D Media and Astrophysical Plasmas
• Shear induced polarization: Collisional contributions
• Spin evolution of massive fermion in QED plasma
• Lorentz-covariant kinetic theory for massive spin-1/2 particles
• The linear mode analysis and spin relaxation
• Collisional corrections to spin polarization from quantum kinetic theory using Chapman-Enskog expansion
• Quantum Kinetic Theory with Vector and Axial Gauge Fields
• Nonlinear chiral kinetic theory
• Dilepton Helical Production in a Vortical Quark-Gluon Plasma
• Chiral kinetic theory with self-energy corrections and neutrino spin Hall effect
• Spin alignment of quarkonia in vortical quark-gluon plasma
• Relativistic Quantum Kinetic Theory: Higher order contributions in assisted Schwinger pair production
• In-medium Electromagnetic Form Factors and Spin Polarizations