Neutrino Quantum Kinetic Equations

Abstract

Neutrinos propagate in astrophysical and cosmological environments modifying their flavor in intriguing ways. The study of neutrino propagation in media is based on the mean-field, extended mean-field and Boltzmann equations. We summarise salient features of these evolution equations and the methods employed so far to derive them. We emphasize applications to situations of observational interest.

19 pages, 1 figure, review for the special issue "Collective motion in nuclei, neutrinos, and neutron stars"

References in corpus (12)

• Neutrino Quantum Kinetics
• Neutrino-Neutrino Interactions and Flavor Mixing in Dense Matter
• Collective neutrinos oscillation in matter and CP-violation
• Neutrino-antineutrino correlations in dense anisotropic media
• Possible CP-Violation effects in core-collapse Supernovae
• Liouville equations for neutrino distribution matrices
• Conservative 3+1 General Relativistic Boltzmann Equation
• Coherent quantum Boltzmann equations from cQPA
• Linearizing neutrino evolution equations including neutrino-antineutrino pairing correlations
• Neutrino Magnetic Moment, CP Violation and Flavor Oscillations in Matter
• General relativistic neutrino transport using spectral methods
• Non-Boltzmann behaviour in models of interacting neutrinos

Cited by in corpus (53)

• Neutrino decoupling including flavour oscillations and primordial nucleosynthesis
• The Dynamics of Binary Neutron Star Mergers and of GW170817
• Fast collective neutrino oscillations inside the neutrino sphere in core-collapse supernovae
• Neutrino Quantum Kinetics in Compact Objects
• A few moments to diagnose fast flavor conversions of supernova neutrinos
• Particle-in-cell Simulation of the Neutrino Fast Flavor Instability
• On Fast Neutrino Flavor Conversion Modes in the Nonlinear Regime
• Fast flavor conversions in supernovae: the rise of mu-tau neutrinos
• Evolution of collisional neutrino flavor instabilities in spherically symmetric supernova models
• Prospects of fast flavor neutrino conversion in rotating core-collapse supernovae
• Collisional instabilities of neutrinos and their interplay with fast flavor conversion in compact objects
• Neutrino Flavor Evolution in Binary Neutron Star Merger Remnants
• Neutrino Spectral Split in the Exact Many Body Formalism
• Neutrino Flavor Evolution in Neutron Star Mergers
• Role of non-gaussian quantum fluctuations in neutrino entanglement
• New method for detecting fast neutrino flavor conversions in core-collapse supernova models with two-moment neutrino transport
• General-Relativistic Quantum-Kinetics Neutrino Transport
• Fast neutrino flavor conversions in a supernova: Emergence, evolution, and effects
• Effects of energy-dependent scatterings on fast neutrino flavor conversions
• Lepton asymmetry, neutrino spectral distortions, and big bang nucleosynthesis
• Incomplete neutrino decoupling effect on big bang nucleosynthesis
• A Novel Multi-Dimensional Boltzmann Neutrino Transport Scheme for Core-Collapse Supernovae
• Self-consistency in models of neutrino scattering and fast flavor conversion
• Asymptotic-state prediction for fast flavor transformation in neutron star mergers
• On the role of the rotations and Bogoliubov transformations in neutrino mixing
• Rank-3 Moment Closures in General Relativistic Neutrino Transport
• Robust integration of fast flavor conversions in classical neutrino transport
• The surprising influence of late charged current weak interactions on Big Bang Nucleosynthesis
• Fast Flavor Transformations
• Neutrino spin and spin-flavour oscillations in transversal matter currents with standard and non-standard interactions
• Collective neutrino oscillations with the halo effect in single-angle approximation
• Insights into neutrino decoupling gleaned from considerations of the role of electron mass
• Neutrino flavor mixing with moments
• Neutrino flavor oscillations and spin rotation in matter and electromagnetic field
• Effect of collisions on neutrino flavor inhomogeneity in a dense neutrino gas
• Prospects for Neutrino Spin Coherence in Supernovae
• Flavor conversions with energy-dependent neutrino emission and absorption
• Evolution and the quasistationary state of collective fast neutrino flavor conversion in three dimensions without axisymmetry
• Radiative transport of relativistic species in cosmology
• An optimization-based approach to calculating neutrino flavor evolution
• Collective Oscillations of Majorana Neutrinos in Strong Magnetic Fields and Self-induced Flavor Equilibrium
• Resonance enhancement of neutrino oscillations due to transition magnetic moments
• Neutrino non-radiative decay and the diffuse supernova neutrino background
• Neutrino spin and spin-flavour oscillations in transversally moving or polarized matter
• Advection Algorithms for Quantum Neutrino Moment Transport
• Theoretical developments in supernova neutrino physics : mass corrections and pairing correlators
• Inference solves a boundary-value collision problem, with relevance to neutrino flavor transformation
• Three-flavor, Full Momentum Space Neutrino Spin Oscillations in Neutron Star Mergers
• Neutrino spin operator and dispersion in moving matter
• Occurrence of fast neutrino flavor conversions in QCD phase-transition supernovae
• Neutrino transport with Monte Carlo method: II. Quantum Kinetic Equations
• Fast Neutrino Conversion in Hydrodynamic Simulations of Neutrino-Cooled Accretion Disks
• Accounting for the Heisenberg and Pauli principles in the kinetic approach to neutrino oscillations