Chirality Production with Mass Effects-Schwinger Pair Production and the Axial Ward Identity

Abstract

The anomalous generation of chirality with mass effects via the axial Ward identity and its dependence on the Schwinger mechanism is reviewed, utilizing parity violating homogeneous electromagnetic background fields. The role vacuum asymptotic states play on the interpretation of expectation values is examined. It is discussed that observables calculated with an in-out scattering matrix element predict a scenario under Euclidean equilibrium. A notable ramification of which is a vanishing of the chiral anomaly. In contrast, it is discussed observables calculated under an in-in, or real-time, formalism predict a scenario out-of equilibrium, and capture effects of mean produced particle anti-particle pairs due to the Schwinger mechanism. The out-of equilibrium chiral anomaly is supplemented with exponential quadratic mass suppression as anticipated for the Schwinger mechanism. Similar behavior in and out-of equilibrium is reviewed for applications including the chiral magnetic effect and chiral condensate.

37 pages, 9 figures. Review article to be submitted for consideration to IJMPA

References in corpus (45)

• Electric Field Effect in Atomically Thin Carbon Films
• The Chiral Magnetic Effect
• An Improved Experimental Limit on the Electric Dipole Moment of the Neutron
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Some Features of the Glasma
• Chiral Magnetic Wave
• Dynamically assisted Schwinger mechanism
• Lorentz Invariance in Chiral Kinetic Theory
• Schwinger pair production in space- and time-dependent electric fields: Relating the Wigner formalism to quantum kinetic theory
• Numerical magneto-hydrodynamics for relativistic nuclear collisions
• Generating spin polarization from vorticity through nonlocal collisions
• Collisions in Chiral Kinetic Theory
• The Schwinger mechanism and graphene
• Lambda hyperon polarization in relativistic heavy ion collisions from the chiral kinetic approach
• The Schwinger mechanism revisited
• Chiral transport equation from the quantum Dirac Hamiltonian and the on-shell effective field theory
• Anomalous chiral transports and spin polarization in heavy-ion collisions
• Experimental searches for the chiral magnetic effect in heavy-ion collisions
• Exploring high-intensity QED at ELI
• Mass Correction to Chiral Kinetic Equations
• Effective quantum kinetic theory for spin transport of fermions with collsional effects
• Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation
• Chiral Anomaly, Schwinger Effect, Euler-Heisenberg Lagrangian, and application to axion inflation
• Probing the linear polarization of photons in ultraperipheral heavy ion collisions
• Chiral electric separation effect in the quark-gluon plasma
• Chiral Hall Effect and Chiral Electric Waves
• Spontaneous CP-violation in the strong interaction at theta = pi
• Anomalous magnetohydrodynamics with longitudinal boost invariance and chiral magnetic effect
• Chiral magnetic plasmons in anomalous relativistic matter
• Study of chiral vortical and magnetic effects in the anomalous transport model
• Boost invariant formulation of the chiral kinetic theory
• Kinetic theory with spin: From massive to massless fermions
• Chirality Production with Mass Effects-Schwinger Pair Production and the Axial Ward Identity
• Dynamically assisted Schwinger mechanism and chirality production in parallel electromagnetic field
• Second-order Charge Currents and Stress Tensor in Chiral System
• Chiral transition and the chiral charge density of the hot and dense QCD matter
• Dynamically generated magnetic moment in the Wigner-function formalism
• Anomalous magnetohydrodynamics with constant anisotropic electric conductivities
• Wigner function and kinetic theory for massive spin-1/2 particles
• Effects of a parallel electromagnetic field in three-flavor Nambu--Jona-Lasinio model
• Chiral transport in strong fields from holography
• Recent developments in chiral and spin polarization effects in heavy-ion collisions
• Analytic Solutions of Transverse Magneto-hydrodynamics under Bjorken Expansion
• Note on all-order Landau-level structures of the Heisenberg-Euler effective actions for QED and QCD
• Wigner Function for Spin-1/2 Fermions in Electromagnetic Fields

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• Probing the gluon tomography in photoproduction of di-pions
• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
• Azimuthal asymmetries of muon pair production in ultraperipheral heavy ion collisions
• Photoproduction of $e^{+}{e}^{-}$ in peripheral isobar collisions
• Schwinger Pair Production in SL$(2,\mathbb{C})$ Topologically Non-Trivial Fields via Non-Abelian Worldline Instantons
• Evolution of chirality in a multiphoton pair production process
• Chiral anomaly in a (1+1)-dimensional Floquet system under high-frequency electric fields
• Euler-Heisenberg Lagrangian under an axial gauge field
• Angular Momentum Inheritance from the Schwinger Effect in (Chromo)electromagnetic Fields
• Nuclear deformation effects in photoproduction of $\rho$ mesons in ultraperipheral isobaric collisions
• In-in worldline formalism in pair creating fields
• Lepton pair production in ultra-peripheral collisions
• Study on axial fields in the dynamically assisted Schwinger effect