The vacuum energy density of the fermion field in a Friedmann universe, and the cosmological problem

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Cosmology, Fermions, Particle Flux Density, Universe, Vacuum Effects, Einstein Equations, Quantum Mechanics

Scientific paper

An analysis of the fermion field vacuum energy in a quasi-Euclidean Friedmann model is presented. It is shown that if the divergent integrals are properly inverted, an exact equivalence for the first two subtractions involved in the n-wave procedure can be traced through renormalization of the cosmological and gravitational constants. Kharkov's (1982) results for the mass-dependent terms in the fermion-field vacuum energy density are amended. For a radiation-dominated model that smoothly fits the de Sitter seed universe at the epoch t = square root of G, it is concluded that the mass-dependent vacuum energy density is negligible compared with the background energy density.

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