Mathematics – Probability
Scientific paper
May 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981phrvd..23.2121h&link_type=abstract
Physical Review D (Particles and Fields), Volume 23, Issue 10, 15 May 1981, pp.2121-2128
Mathematics
Probability
48
Scientific paper
The production of scalar particles in a homogeneous isotropic spatially flat universe containing classical baryons and radiation is studied for regulated massless free-field theories without trace anomalies. The pair-production probability is evaluated to lowest nonvanishing order in the parameter ξ=lρbρr34, where l is the Planck length, ρb is the baryon energy density, and ρr is the radiation energy density, all in units where ℏ=c=1. For our universe ξ~10-27. The back reaction regulates the production of scalar particles near the singularity so that the probability to produce a pair in the volume occupied by one baryon over the history of the universe is finite, of order of magnitude ξmbl, where mb is the mass of a typical baryon, and therefore very small.
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