Stationary and non-stationary solutions of the evolution equation for neutrino in matter

We study solutions of the equation which describes the evolution of a neutrino propagating in dense homogeneous medium in the framework of the quantum field theory. In the two-flavor model the explicit form of Green function is obtained, and as a consequence the dispersion law for a neutrino in matt...

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Main Authors: Chukhnova, A.V., Lobanov, A.E.
Format: Conference Proceeding
Language:English
Subjects:
Coherence
Economic models
Evolution
Field theory
Flavor (particle physics)
Green's functions
Helicity
Neutrinos
Quantum field theory
Quantum theory
Wave functions
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description We study solutions of the equation which describes the evolution of a neutrino propagating in dense homogeneous medium in the framework of the quantum field theory. In the two-flavor model the explicit form of Green function is obtained, and as a consequence the dispersion law for a neutrino in matter is derived. Both the solutions describing the stationary states and the spin-flavor coherent states of the neutrino are found. It is shown that the stationary states of the neutrino are different from the mass states, and the wave function of a state with a definite flavor should be constructed as a linear combination of the wave functions of the stationary states with coefficients, which depend on the mixing angle in matter. In the ultra-relativistic limit the wave functions of the spin-flavor coherent states coincide with the solutions of the quasi-classical evolution equation. Quasi-classical approximation of the wave functions of spin-flavor coherent states is used to calculate the probabilities of transitions between neutrino states with definite flavor and helicity.
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subjects Coherence
Economic models
Evolution
Field theory
Flavor (particle physics)
Green's functions
Helicity
Neutrinos
Quantum field theory
Quantum theory
Wave functions
title Stationary and non-stationary solutions of the evolution equation for neutrino in matter
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