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Theory of $U(1)$ gauged Q-balls revisited · Around

2013

Theory of $U(1)$ gauged Q-balls revisited

Gulamov, I. E., Nugaev, E. Ya., Smolyakov, M. N.

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In this paper, the main properties of (3+1)-dimensional $U(1)$ gauged Q-balls are examined.

In particular, it is shown that the relation $\frac{dE}{dQ}=\omega$ holds for such gauged Q-balls in the general case.
As a consequence, it is shown that the well-known estimate for the maximal charge of stable gauged Q-balls was derived by means of an inconsistent procedure and can not be considered as correct.
A simple method for obtaining the main characteristics of gauged Q-balls using only the nongauged background solution for the scalar field in the case, when the back-reaction of the gauge field on the scalar field is small and the linearized theory can be used, is proposed.

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