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Kinetic Field Theory: Effects of momentum correlations on the cosmic density-fluctuation power spectrum | | Matthias Bartelmann
; Felix Fabis
; Elena Kozlikin
; Robert Lilow
; Johannes Dombrowski
; Julius Mildenberger
; | | Date: |
29 Nov 2016 | | Abstract: | In earlier work, we have developed a Kinetic Field Theory (KFT) for
cosmological structure formation and showed that the non-linear
density-fluctuation power spectrum known from numerical simulations can be
reproduced quite well even if particle interactions are taken into account to
first order only. Besides approximating gravitational interactions, we had to
truncate the initial correlation hierarchy of particle momenta at the second
order. Here, we substantially simplify KFT. We show that its central object,
the free generating functional, can be factorized, taking the full hierarchy of
momentum correlations into account. The factors appearing in the generating
functional have a universal form and can thus be tabulated for fast access in
perturbation schemes.
Our results show that the complete hierarchy of initial momentum correlations
is responsible for a characteristic deformation in the density-fluctuation
power spectrum, caused by mode transport independent of the particle
interaction. At the present epoch and on scales near $1,h^{-1}mathrm{Mpc}$,
the initial momentum correlations can almost double the linearly evolved power.
We further develop perturbation theory based on the factorization of the
generating functional and propose a diagrammatic scheme for the perturbation
terms. | | Source: | arXiv, 1611.9503 | | Services: | Forum | Review | PDF | Favorites | |
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