Neutrino-Neutrino Interactions and Flavor Mixing in Dense Matter

Details Neutrino-Neutrino Interactions and Flavor Mixing in Dense Matter Neutrino-Neutrino Interactions and Flavor Mixing in Dense Matter

2006-07-23

arxiv.org/abs/astro-ph/0607527v2

J.Phys.G34:47-66,2007

Astronomy and Astrophysics

Astrophysics

16 pages of REVTEX

Scientific paper

10.1088/0954-3899/34/1/004

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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