Peter Bowcock et al 2009 J. Phys. A: Math. Theor. 42 085403 doi:10.1088/1751-8113/42/8/085403
Q-balls, integrability and duality
Peter Bowcock, David Foster and Paul Sutcliffe
Show affiliationsThis 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.
- PACS
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11.10.Lm Nonlinear or nonlocal theories and models
11.10.Ef Lagrangian and Hamiltonian approach
11.30.Fs Global symmetries (e.g., baryon number, lepton number)
- MSC
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81Txx Quantum field theory; related classical field theories (See also 70Sxx)
- Subjects
- Dates
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Issue 8 (27 February 2009)
Received 20 October 2008, in final form 19 December 2008
Published 30 January 2009
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Q-balls, integrability and duality
Peter Bowcock et al 2009 J. Phys. A: Math. Theor. 42 085403
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