The primordial neutrino gas

Physics – Condensed Matter

Scientific paper

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Scientific paper

At an early stage the development of the universe was to a great extent determined by neutrino collisions. During this period the frequency of occurrence of these collisions was high enough so as to allow for a description by means of statistical methods. Accordingly, in this note, the local time behaviour of this neutrino system has been supposed to be governed by a Boltzmann-type kinetic theory, which has been adapted in such a way that the extreme physical situation reigning shortly after the initial big bang has been accounted for. This means, particularly, that quantal and relativistic effects have to be incorporated. On the basis of this newly developed theory and the neutral current part of the Hamiltonian describing the weak interactions, expressions for the heat conductivity and the viscosity—crucial parameters in cosmology—could be obtained as functions of the temperature and the weak coupling constant.

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