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On the reach of perturbative methods for dark matter density fields · Around

2015

On the reach of perturbative methods for dark matter density fields

Baldauf, Tobias, Schaan, Emmanuel, Zaldarriaga, Matias

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We study the mapping from Lagrangian to Eulerian space in the context of the Effective Field Theory (EFT) of Large Scale Structure.

We compute Lagrangian displacements with Lagrangian Perturbation Theory (LPT) and perform the full non-perturbative transformation from displacement to density.
When expanded up to a given order, this transformation reproduces the standard Eulerian Perturbation Theory (SPT) at the same order.
However, the full transformation from displacement to density also includes higher order terms.

Built on

Princeton University Press, Princeton, NJ, 1980
P. J. E. Peebles, The large-Scale Structure of the Universe · 1980
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