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Classical approximation to quantum cosmological correlations | | Meindert van der Meulen
; Jan Smit
; | | Date: |
5 Jul 2007 | | Abstract: | We investigate up to which order quantum effects can be neglected in
calculating cosmological correlation functions after horizon exit. As a toy
model, we study $phi^3$ theory on a de Sitter background for a massless
minimally coupled scalar field $phi$. We find that for tree level and one loop
contributions in the quantum theory, a good classical approximation can be
constructed, but for higher loop corrections this is in general not expected to
be possible. The reason is that loop corrections get non-negligible
contributions from loop momenta with magnitude up to the Hubble scale $H$, at
which scale classical physics is not expected to be a good approximation to the
quantum theory. An explicit calculation of the one loop correction to the two
point function, supports the argument that contributions from loop momenta of
scale $H$ are not negligible. Generalization of the arguments for the toy model
to derivative interactions and the curvature perturbation leads to the
conclusion that the leading orders of non-Gaussian effects generated after
horizon exit, can be approximated quite well by classical methods. Furthermore
we compare with a theorem by Weinberg. We find that growing loop corrections
after horizon exit are not excluded, even in single field inflation. | | Source: | arXiv, arxiv.0707.0842 | | Services: | Forum | Review | PDF | Favorites | |
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