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arXiv · 0809.3895

Q-balls, Integrability and Duality

Peter Bowcock·David Foster·Paul Sutcliffe
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Abstract

This paper is concerned with the dynamics and interactions of Q-balls in (1+1)-dimensions. The asymptotic force between well-separated Q-balls is calculated to show that Q-balls can be attractive or repulsive depending upon their relative internal phase. An integrable model with exact multi-Q-ball solutions is investigated and found to be of use in explaining the dynamics in non-integrable theories. In particular, it is demonstrated that the dynamics of small Q-balls in a generic class of non-integrable models tends towards integrable dynamics as the charge decreases. Long-lived oscillations of a single Q-ball can also be understood in terms of a deformation of an exact breather solution in the integrable model. Finally, we show that any theory with Q-ball solutions has a dual description in which a stationary Q-ball is dual to a static kink, with an interchange of Noether and topological charges.

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Peter Bowcock, David Foster, Paul Sutcliffe. 2009-01-08. Q-balls, Integrability and Duality. https://doi.org/10.1088/1751-8113/42/8/085403

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