http://arxiv.org/abs/1711.07502
We study the behaviour of a light quartically self-interacting scalar field $\phi$ on curved backgrounds that may be described with the cosmological equation state parameter $w$. At leading order in the non-perturbative 2PI expansion we find a general formula for the variance $\langle\hat{\phi}^2\rangle$ and show for several previously unexplored cases, including matter domination and kination, that the curvature of space can induce a significant excitation of the field. We discuss how the generation of a non-zero variance for $w\neq-1$ can be understood as a process of self-regulation of the infrared divergences very similarly to what is known to occur in de Sitter space. We furthermore provide a generalization of the Bunch-Davies vacuum for beyond de Sitter backgrounds. To conclude, the appearance of an effective mass due to self-interaction is generic for a light scalar in curved space and can have important implications for reheating, vacuum stability and dark matter generation.
T. Markkanen
Wed, 22 Nov 17
37/67
Comments: 16 pages, 1 figure
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