Quantum non-linear evolution of inflationary tensor perturbations

Jinn Ouk Gong, Min Seok Seo

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We study the quantum mechanical evolution of the tensor perturbations during inflation with non-linear tensor interactions. We first obtain the Lindblad terms generated by non-linear interactions by tracing out unobservable sub-horizon modes. Then we calculate explicitly the reduced density matrix for the super-horizon modes, and show that the probability of maintaining the unitarity of the squeezed state decreases in time. The decreased probability is transferred to other elements of the reduced density matrix including off-diagonal ones, so the evolution of the reduced density matrix describes the quantum-to-classical transition of the tensor perturbations. This is different from the classicality accomplished by the squeezed state, the suppression of the non-commutative effect, which is originated from the quadratic, linear interaction, and also maintains the unitarity. The quantum-to-classical transition occurs within 5–10 e-folds, faster than the curvature perturbation.

Original languageEnglish
Article number21
JournalJournal of High Energy Physics
Volume2019
Issue number5
DOIs
StatePublished - 1 May 2019

Keywords

  • Cosmology of Theories beyond the SM
  • Effective Field Theories

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