Analytic calculation of the non-linear cosmic density-fluctuation power spectrum in the Born approximation

Understand

We derive a non-perturbative, closed, analytic equation for the non-linear power spectrum of cosmic density fluctuations.

• This result is based on our kinetic field theory (KFT) of cosmic structure formation and on evaluating particle interactions in the Born approximation.
• At redshift zero, relative deviations between our analytic result and typical numerical results are ~ 15 % on average up to wave numbers of k <= 10 h/Mpc.
• The theory underlying our analytic equation is fully specified once the statistical properties of the initial density and momentum fluctuations are set.