Abstract
We study the initial conditions for cosmological N-body simulationsfor precision cosmology. In general, Zel'dovich approximationhas been applied for the initial conditions of N-bodysimulations for a long time. These initial conditions provideincorrect higher-order growth. These error caused bysetting up the initial conditions by perturbation theory is calledtransients. We investigated the impact of transient on non-Gaussianityof density field by performing cosmological N-body simulationswith initial conditions based on first-, second-, and third-orderLagrangian perturbation theory in previous paper. In this paper,we evaluates the effect of the transverse mode in the third-orderLagrangian perturbation theory for several statistical quantitiessuch as power spectrum and non-Gaussianty.Then we clarified that the effect of the transverse mode inthe third-order Lagrangian perturbation theory is quite small.
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