Stability of Q-balls and Catastrophe

Details Stability of Q-balls and Catastrophe Stability of Q-balls and Catastrophe

2007-12-10

arxiv.org/abs/0712.1450v2

Prog.Theor.Phys.119:929-937,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 4 figures, some discussions and references added, to apear in Prog. Theor. Phys

Scientific paper

10.1143/PTP.119.929

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, $V_3=m^2\phi^2/2-\mu\phi^3+\lambda\phi^4$ and $V_4=m^2\phi^2/2-\lambda\phi^4+\phi^6/M^2$. 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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