Less Energy in the Early Universe

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

The standard energy calculation of the primordial plasma assumes ideal gas particles and that the electromagnetic spectrum is a blackbody spectrum in vacuum. Through the fluctuation-dissipation theorem (FDT), used in the studies of Opher and Opher (Phys.Rev.Lett. 79, 2628 (1997) and Phys.Rev.D 56, 3296 (1997)), we estimate the energy contained in the electromagnetic fluctuations. We show that the energy density of the plasma is appreciably less than the standard calculation, approximately -10% rhogamma for temperatures ~1010 K, where rhogamma is the blackbody energy density in vacuum. This correction is appreciably different from the usual one using a finite temperature QED calculation. The reason is that FDT takes into account all the fluctuations in the plasma (not only the photon and plasmons), and includes dynamic screening, as well. We discuss the differences between the two approaches.

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