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arXiv · 2308.06458

Existence of $U(1)$ Gauged Q-balls for A Field Model with Sixth-order Potential

Xiaosen Han·Guange Su
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Abstract

Q-balls are non-topological solitons in a large family of field theories. We focus on the existence of $U(1)$ gauged Q-balls for a field theory with sixth-order potential. The problem can be reduced to proving the existence of critical points for some indefinite functional. For this, we use a constrained minimization approach to obtain the existence of critical points. Moreover, we establish some qualitative properties of the Q-ball solution, such as monotonicity, boundedness and asymptotic behavior.

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Xiaosen Han, Guange Su. 2023-08-12. Existence of $U(1)$ Gauged Q-balls for A Field Model with Sixth-order Potential. https://arxiv.org/abs/2308.06458

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