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Domain Wall Problem of Axion and Isocurvature Fluctuations in Chaotic Inflation Models

S. Kasuya·M. Kawasaki·T. Yanagida
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Abstract

We study the domain wall problem of an axion in chaotic inflation models. We show that the production of domain walls does not occurs if the Peccei-Quinn scalar has a flat potential and its breaking $F_{a}$ is larger than $\sim 10^{15}$GeV. We find that too large isocurvature fluctuations are produced for such high $F_{a}$. In order for those isocurvature fluctuations to be consistent with observations of the large scale structure of the universe, the self-coupling constant $g$ and the breaking scale of the Peccei-Quinn scalar should be $g \simeq (1-2.8)\times 10^{-13}$ and $F_{a} \simeq (0.6-1.5)\times 10^{15}$GeV, respectively. In particular the value of self-coupling constant is almost the same as that required for a chaotic inflation, which strongly suggests that the Peccei-Quinn scalar itself is an inflaton.

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S. Kasuya, M. Kawasaki, T. Yanagida. 1997-09-01. Domain Wall Problem of Axion and Isocurvature Fluctuations in Chaotic Inflation Models. https://doi.org/10.1016/s0370-2693(97)01270-7

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