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Markkanen, Tommi

Light scalars on cosmological backgrounds. (English) Zbl 1384.83071

J. High Energy Phys. 2018, No. 1, Paper No. 116, 19 p. (2018).
Summary: 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 \(\left\langle {\widehat{\phi}}^2\right\rangle \) 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 \(w-1\) 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. 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.

Cited in 4 Documents

MSC:

83F05 Relativistic cosmology
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
83C47 Methods of quantum field theory in general relativity and gravitational theory

Keywords:

field theories in higher dimensions; field theories in lower dimensions; classical theories of gravity
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References:

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