Beyond δn formalism

Atsushi Naruko, Yu Ichi Takamizu, Misao Sasaki

研究成果: Article

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We develop a theory of nonlinear cosmological perturbations on superhorizon scales for a multicomponent scalar field with a general kinetic term and a general form of the potential in the context of inflationary cosmology. We employ the ADM formalism and the spatial gradient expansion approach, characterized by O(ε2), where ε = 1/(HL) is a small parameter representing the ratio of the Hubble radius to the characteristic length scale L of perturbations. We provide a formalism to obtain the solution in the multi-field case. This formalism can be applied to the superhorizon evolution of a primordial non-Gaussianity beyond the so-called δN formalism which is equivalent to O(ε 0) of the gradient expansion. In doing so, we also derive fully nonlinear gauge transformation rules valid through O(ε 2). These fully nonlinear gauge transformation rules can be used to derive the solution in a desired gauge from the one in a gauge where computations are much simpler. As a demonstration, we consider an analytically solvable model and construct the solution explicitly.

元の言語English
記事番号043E01
ジャーナルProgress of Theoretical and Experimental Physics
2013
発行部数4
DOI
出版物ステータスPublished - 2013 4 1

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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    Naruko, A., Takamizu, Y. I., & Sasaki, M. (2013). Beyond δn formalism. Progress of Theoretical and Experimental Physics, 2013(4), [043E01]. https://doi.org/10.1093/ptep/ptt008