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Neutrino-Neutrino Interactions and Flavor Mixing in Dense Matter

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arxiv astro-ph/0607527 v2 pith:6XDL6LHN submitted 2006-07-23 astro-ph hep-phnucl-th

A.B. Balantekin , Y. Pehlivan This is my paper · ORCID
classification astro-phhep-phnucl-th
keywords denseintegralmany-bodyneutrinopathalgebraicapproachappropriate
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An algebraic approach to the neutrino propagation in dense media is presented. The Hamiltonian describing a gas of neutrinos interacting with each other and with background fermions is written in terms of the appropriate SU(N) operators, where N is the number of neutrino flavors. The evolution of the resulting many-body problem is formulated as a coherent-state path integral. Some commonly used approximations are shown to represent the saddle-point solution of the path integral for the full many-body system.

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Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Advection Algorithms for Quantum Neutrino Moment Transport

    astro-ph.HE 2025-01 conditional novelty 7.0 of 10

    A modulus-phase Riemann solver for quantum neutrino moments gives fast-flavor instability growth rates and wavenumbers closer to multi-angle simulations than the prior real-imaginary implementation.

  2. Improved Approximations for Collective Neutrino Oscillations

    hep-ph 2026-07 conditional novelty 6.0 of 10

    Second-order BBGKY truncation of an su(n) one-plus-two-body Hamiltonian approximates collective neutrino dynamics beyond mean field at polynomial classical cost and reveals large-N phase and entanglement structure.

  3. Collective neutrino oscillations: Many-body non-forward effects and non-classicality

    hep-ph 2026-06 unverdicted novelty 5.0 of 10

    In a neutrino-gas model, the many-body Hamiltonian yields different evolution timescales and asymptotics than the quantum kinetic approach with collisions, while quantum resources for the full case sit at the low end ...

  4. What shall we learn from a future supernova?

    astro-ph.SR 2024-12 unverdicted novelty 1.0 of 10

    A review of supernova neutrino and DSNB physics, with a reproduced Bayesian figure from the author's prior work, but no new analysis.

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