Given that Schwinger pair production *might*
be the cause of certain observations
and the papers generally describe a critical electric field Ec
for Schwinger Pair Production
http://arxiv.org/abs/hep-ph/0103185v1
Ec = me*c^3/(q*hbar)=1.3x10^18 V/m or
or in terms of cgs
1.3x10^18 V/m /300 = 4.4x10^15 g^(1/2) cm^(-1/2) sec^-1
Is there a possibility that Schwinger Pair Production
would have been operative at Big Bang Nucleosynthesis
wherein temperature may have been 1x10^14 K ?
Defining kinetic energy
Boltzmann*1x10^14 = 0.014 erg (g cm^2/sec^2
and electric field energy (assume dielectric = 1)
Ec^2 / 2 = (4.4x10^15)^2/2 erg/cm^3
then
volume = 2*Boltzmann*1x10^14 / (4.4x10^15)^2 = (1.13x10^-11)^3 cm^3
This volume is a bit larger than an atomic nucleus at ~1x10^-14 cm.
Conceivably, many moles of these volumes could be involved in BBN
The corresponding Schwinger production rate is
~(e*E/hb)^2 / c = 1.3Ex10^56 #/cm^3/sec
This is an extremely high number
Is this type of calculation done in BBN analysis?
Richard D Saam