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Neutrino–neutrino interactions and flavour mixing in dense matter

A B Balantekin and Y Pehlivan

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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 flavours. 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.


PACS

13.15.+g Neutrino interactions

14.60.Pq Neutrino mass and mixing

97.60.Bw Supernovae

26.65.+t Solar neutrinos

11.30.Ly Other internal and higher symmetries

96.60.Jw Solar interior

Subjects

Nuclear physics

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 1 (January 2007)

Received 21 September 2006

Published 2 November 2006



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