Boltzmann equations for neutrinos with flavor mixings

Yamada, Shoichi

doi:10.1103/physrevd.62.093026

Cited by 27 publications

(26 citation statements)

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“…The first regime can be very difficult to treat and requires a quantum kinetic approach (e.g. [18][19][20][21][22][23][24]). However, it is generally thought that active-active neutrino flavor transformation is negligible in this regime.…”

Section: Introductionmentioning

confidence: 99%

Simulating nonlinear neutrino flavor evolution

2008

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We discuss a new kind of astrophysical transport problem: the coherent evolution of neutrino flavor in core collapse supernovae. Solution of this problem requires a numerical approach which can simulate accurately the quantum mechanical coupling of intersecting neutrino trajectories and the associated nonlinearity which characterizes neutrino flavor conversion. We describe here the two codes developed to attack this problem. We also describe the surprising phenomena revealed by these numerical calculations. Chief among these is that the nonlinearities in the problem can engineer neutrino flavor transformation which is dramatically different than in standard Mikheyev-Smirnov-Wolfenstein treatments. This happens even though the neutrino masssquared differences are measured to be small, and even when neutrino self-coupling is sub-dominant. Our numerical work has revealed potential signatures which, if detected in the neutrino burst from a Galactic core collapse event, could reveal heretofore unmeasurable properties of the neutrinos, such as the mass hierarchy and vacuum mixing angle θ 13 .

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Section: Introductionmentioning

confidence: 99%

Simulating nonlinear neutrino flavor evolution

2008

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“…A few further details are presented in appendix A. Equation (2.12) naturally arises in the real time formalism of the non-equilibrium field theory [17]. For neutrinos propagating in vacuum or an advective medium the formalism of non-equilibrium field theory provides no real advantage over the widely used quantum mechanical approach.…”

Section: Quantum Kinetic Description Of Neutrino Oscillationsmentioning

confidence: 99%

Relating quantum mechanics and kinetics of neutrino oscillations

Kartavtsev

2020

J. High Energ. Phys.

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Simultaneous treatment of neutrino oscillations and collisions in astrophysical environments requires the use of (quantum) kinetic equations. Despite major advances in the field of quantum kinetics, structure of the kinetic equations and their consistency with the uncertainty principle are still debated. The goals of the present work are threefold. First, it clarifies structure of the Liouville term. Second, it aims at demonstrating that the kinetic equation is in accord with the uncertainty principle and accounts for neutrino wave packet separation. Finally, we derive kinetic equation for neutrinos propagating in an advective medium and show that in the relativistic limit it reverts to the one derived by Sigl and Raffelt. The obtained results speak in favor of applying kinetic equations for analysis of neutrino propagation in exploding supernovae where neutrino oscillations and collisions, as well as the phenomenon of wave packet separation, might be equally important.

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“…The CTP formalism for out-of-equilibrium quantum fields has been used in Refs. [14,34]. Equations of motion for the neutrino Green's functions are given, in the Boltzmann approximation.…”

Section: Theoretical Frameworkmentioning

confidence: 99%