Sine-Gordon solitons, auxiliary fields, and singular limit of a double pendulums chain

Details Sine-Gordon solitons, auxiliary fields, and singular limit of a double pendulums chain Sine-Gordon solitons, auxiliary fields, and singular limit of a double pendulums chain

2007-06-21

arxiv.org/abs/0706.3173v1

J. Phys. A40 (2007) 12917

Physics

Mathematical Physics

18 pages, 2 figures

Scientific paper

10.1088/1751-8113/40/43/006

We consider the continuum version of an elastic chain supporting topological and non-topological degrees of freedom; this generalizes a model for the dynamics of DNA recently proposed and investigated by ourselves. In a certain limit, the non-topological degrees of freedom are frozen, and the model reduces to the sine-Gordon equations and thus supports well-known topological soliton solutions. We consider a (singular) perturbative expansion around this limit and study in particular how the non-topological field assume the role of an auxiliary field. This provides a more general framework for the slaving of this degree of freedom on the topological one, already observed elsewhere in the context of the mentioned DNA model; in this framework one expects such phenomenon to arise in a quite large class of field-theoretical models.

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