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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2012 Volume 173, Number 1, Pages 149–159 (Mi tmf6968)

This article is cited in 5 papers

Comparison of dynamical and spectator models of a (pseudo)conformal universe

M. V. Libanovab, V. A. Rubakovba

a Lomonosov Moscow State University, Moscow, Russia
b Institute for Nuclear Research, RAS, Moscow

Abstract: We consider two versions of the scenario for generating scalar cosmological perturbations based on the conformal symmetry: a spectator version with a scalar field conformally coupled to gravity and with a negligible energy density; a dynamical version with a scalar field minimally coupled to gravity and dominating the cosmological evolution. Using the Newtonian gauge, we show, first, that no UV strong-coupling scale is generated below $M_{\rm Pl}$, because of mixing with metric perturbations in the dynamical scenario, and, second, that both the dynamical and the spectator models yield identical results in the leading nonlinear order. These results, which include potentially observable effects like statistical anisotropy and non-Gaussianity, hold for the entire class of conformal models. As an example, in the dynamical scenario with the comoving gauge, we reproduce our result on the statistical anisotropy, previously obtained in the framework of the spectator approach.

Keywords: inflation alternative, cosmological perturbation theory.

Received: 24.02.2012

DOI: 10.4213/tmf6968


 English version:
Theoretical and Mathematical Physics, 2012, 173:1, 1457–1465

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© Steklov Math. Inst. of RAS, 2025