Ellie Nalson, Adam J. Christopherson, Ian Huston, Karim A. Malik
How much does the curvature perturbation change after it leaves the horizon,
and when should one evaluate the power spectrum? To answer these questions we
study single field inflation models numerically, and compare the evolution of
different curvature perturbations from horizon crossing to the end of
inflation. In particular we calculate the number of efolds it takes for the
curvature perturbation at a given wavenumber to settle down to within a given
fraction of their value at the end of inflation.
We find that e.g. in chaotic inflation, the amplitude of the comoving and the
curvature perturbation on uniform density hypersurfaces differ by up to 180 %
at horizon crossing assuming the same amplitude at the end of inflation, and
that it takes approximately 3 efolds for the curvature perturbation to be
within 1 % of its value at the end of inflation.
View original:
http://arxiv.org/abs/1111.6940
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