Chiral Radiation Transport Theory of Neutrinos

Abstract

We construct the chiral radiation transport equation for left-handed neutrinos in the context of radiation hydrodynamics for core-collapse supernovae. Based on the chiral kinetic theory incorporating quantum corrections due to the chirality of fermions, we derive a general relativistic form of the chiral transfer equation with collisions. We show that such quantum corrections explicitly break the spherical symmetry and axisymmetry of the system. In the inertial frame, in particular, we find that the so-called side jump leads to quantum corrections in the collisions between neutrinos and matter. We also derive analytic forms of such corrections in the emission and absorption rates for the neutrino absorption process. These corrections result in the generation of kinetic helicity and cross helicity of matter, which should then modify the subsequent evolution of matter. This theoretical framework can be applied to investigate the impacts of the chirality of neutrinos on the evolution of core-collapse supernovae.

arXiv comment21 pages, no figures, very minor revisions, journal version

References in corpus (64)

• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl Semimetal in a Topological Insulator Multilayer
• The Chiral Magnetic Effect
• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
• Hydrodynamics with Triangle Anomalies
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Fluid dynamics of R-charged black holes
• The Quark-Gluon Plasma: Collective Dynamics and Hard Thermal Loops
• Physics of Core-Collapse Supernovae in Three Dimensions: a Sneak Preview
• Gravitational Anomaly and Transport
• Chiral Kinetic Theory
• Primordial Magnetic Fields, Right Electrons, and the Abelian Anomaly
• Hydrodynamics from charged black branes
• Neutrino Interactions in Hot and Dense Matter
• Kinetic theory with Berry curvature from quantum field theories
• Berry curvature and 4-dimensional monopole in relativistic chiral kinetic equation
• Self-consistent evolution of magnetic fields and chiral asymmetry in the early Universe
• Lorentz Invariance in Chiral Kinetic Theory
• Exploring Fundamentally Three-dimensional Phenomena in High-fidelity Simulations of Core-collapse Supernovae
• A percent-level determination of the nucleon axial coupling from Quantum Chromodynamics
• Kinetic theory for massive spin-1/2 particles from the Wigner-function formalism
• Universality of transport properties in equilibrium, Goldstone theorem and chiral anomaly
• Relativistic Chiral Kinetic Theory from Quantum Field Theories
• A Successful 3D Core-Collapse Supernova Explosion Model
• Neutrino Quantum Kinetics
• Collisions in Chiral Kinetic Theory
• Nonlinear Responses of Chiral Fluids from Kinetic Theory
• Global Comparison of Core-Collapse Supernova Simulations in Spherical Symmetry
• Rotation-supported Neutrino-driven Supernova Explosions in Three Dimensions and the Critical Luminosity Condition
• Relativistic Quantum Kinetic Theory for Massive Fermions and Spin Effects
• Complete and Consistent Chiral Transport from Wigner Function Formalism
• Axial Kinetic Theory and Spin Transport for Fermions with Arbitrary Mass
• Neutrino Transfer in Three Dimensions for Core-Collapse Supernovae. I. Static Configurations
• Baryogenesis from Decaying Magnetic Helicity
• Chiral transport of neutrinos in supernovae: Neutrino-induced fluid helicity and helical plasma instability
• Chiral kinetic theory in curved spacetime
• Neutrino Quantum Kinetics in Compact Objects
• Consistent Chiral Kinetic Theory in Weyl Materials: Chiral Magnetic Plasmons
• World-line construction of a covariant chiral kinetic theory
• Laminar and turbulent dynamos in chiral magnetohydrodynamics-I: Theory
• Neutrino propagation in media: Flavor-, helicity-, and pair correlations
• Topological Currents in Neutron Stars: Kicks, Precession, Toroidal Fields, and Magnetic Helicity
• Impact of Neutrino Opacities on Core-Collapse Supernova Simulations
• The Role of the Electron Mass in Damping Chiral Magnetic Instability in Supernova and Neutron Stars
• Chiral Magnetic Effect in Protoneutron Stars and Magnetic Field Spectral Evolution
• A Detailed Comparison of Multi-Dimensional Boltzmann Neutrino Transport Methods in Core-Collapse Supernovae
• Magnetic field instability in a neutron star driven by the electroweak electron-nucleon interaction versus the chiral magnetic effect
• Turbulence in Core-Collapse Supernovae
• Non-equilibrium Chiral Magnetic/Vortical Effects in Viscous Fluids
• MagnetoHydrodynamics with chiral anomaly: phases of collective excitations and instabilities
• Out-of-Equilibrium Chiral Magnetic Effect from Chiral Kinetic Theory
• Anatomy of chiral magnetic effect in and out of equilibrium
• Side-Jump Induced Spin-Orbit Interaction of Chiral Fluids from Kinetic Theory
• Consistent Relativistic Chiral Kinetic Theory: a derivation from OSEFT
• Chiral kinetic approach to the chiral magnetic effect in isobaric collisions
• Core-collapse supernovae in the hall of mirrors. A three-dimensional code-comparison project
• Chiral Kinetic Theory from Effective Field Theory Revisited
• Photonic chiral vortical effect
• Chiral Vortical Effect For An Arbitrary Spin
• Chiral kinetic theory from Landau level basis
• Energy Conservation and the Chiral Magnetic Effect
• Second-order dissipative hydrodynamics for plasma with chiral asymmetry and vorticity
• Hydrodynamic modes in a magnetized chiral plasma with vorticity

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• Effective quantum kinetic theory for spin transport of fermions with collsional effects
• Foundations and Applications of Quantum Kinetic Theory
• Chiral effects in astrophysics and cosmology
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• Quantum kinetic theory for dynamical spin polarization from QED-type interaction
• Wigner functions and quantum kinetic theory of polarized photons
• Hydrodynamic helicity polarization in relativistic heavy ion collisions
• Chiral torsional effect with finite temperature, density and curvature
• Shear induced polarization: Collisional contributions
• Quantum kinetic theory for spin transport of quarks with background chromo-electromagnetic fields
• Second order chiral kinetic theory under gravity and antiparallel charge-energy flow
• Chiral plasma instability and inverse cascade from nonequilibrium left-handed neutrinos in core-collapse supernovae
• Helical magnetic effect and the chiral anomaly
• Production of a chiral magnetic anomaly with emerging turbulence and mean-field dynamo action
• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
• Magnetic field induced neutrino chiral transport near equilibrium
• Polarization Rotation of Chiral Fermions in Vortical Fluid
• Photoproduction of $e^{+}{e}^{-}$ in peripheral isobar collisions
• Berry phase in the phase space worldline representation: the axial anomaly and classical kinetic theory
• Quantum Kinetic Theory with Vector and Axial Gauge Fields
• Nonlinear chiral kinetic theory
• Chiral kinetic theory with self-energy corrections and neutrino spin Hall effect
• Dilepton Helical Production in a Vortical Quark-Gluon Plasma
• Chiral gravitational waves from thermalized neutrinos in the early Universe
• In-medium polarization tensor in strong magnetic fields (II): Axial Ward identity at finite temperature and density