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arXiv · 0712.1450

Stability of Q-balls and Catastrophe

Nobuyuki Sakai·Misao Sasaki
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Abstract

We propose a practical method for analyzing stability of Q-balls for the whole parameter space, which includes the intermediate region between the thin-wall limit and thick-wall limit as well as Q-bubbles (Q-balls in false vacuum), using the catastrophe theory. We apply our method to the two concrete models, $V_3=m^2ϕ^2/2-μϕ^3+λϕ^4$ and $V_4=m^2ϕ^2/2-λϕ^4+ϕ^6/M^2$. We find that $V_3$ and $V_4$ Models fall into {\it fold catastrophe} and {\it cusp catastrophe}, respectively, and their stability structures are quite different from each other.

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Nobuyuki Sakai, Misao Sasaki. 2008-06-05. Stability of Q-balls and Catastrophe. https://doi.org/10.1143/ptp.119.929

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