Motion of Coloured Particles in Solitons of the O(3) Non-Linear Model

Details Motion of Coloured Particles in Solitons of the O(3) Non-Linear Model Motion of Coloured Particles in Solitons of the O(3) Non-Linear Model

2004-12-15

arxiv.org/abs/hep-th/0412168v1

PoS WC2004 (2004) 042

Physics

High Energy Physics

High Energy Physics - Theory

7 pages; contribution to the 4th International Winter Conference on Mathematical Methods in Physics (WC2004), August 2004, Bra

Scientific paper

We propose a consistent expression for the relativistic quadri-force referring to the classical interaction between a coloured particle and a scalar field multiplete. General aspects of the resultant equations of motion are discussed as well as a specialisation to the case of a SU(2) particle in the presence of a soliton configuration of the non-linear O(3) model with unit topological charge. Analytical studies regarding the stability and asymptotic behaviour of this system are made and extended to the case of arbitrary topological charge. Since the non-linear O(3) model describes an isotropic ferromagnet, we also investigate a possible physical interpretation of such a system.

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