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Quantum Corrections to Q-Balls

N. Graham
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Abstract

We extend calculational techniques for static solitons to the case of field configurations with simple time dependence in order to consider quantum effects on the stability of Q-balls. These nontopological solitons exist classically for any fixed value of an unbroken global charge Q. We show that one-loop quantum effects can destabilize very small Q-balls. We show how the properties of the soliton are reflected in the associated scattering problem, and find that a good approximation to the full one-loop quantum energy of a Q-ball is given by $ω- E_0$, where $ω$ is the frequency of the classical soliton's time dependence, and $E_0$ is the energy of the lowest bound state in the associated scattering problem.

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N. Graham. 2001-05-14. Quantum Corrections to Q-Balls. https://doi.org/10.1016/s0370-2693(01)00669-4

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