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

Abstract

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.

arXiv comment18 pages, 2 figures

References in corpus (5)

• Helicoidal model for DNA opening
• Statistical Mechanics of Torque Induced Denaturation of DNA
• A composite model for DNA torsion dynamics
• Vector Nonlinear Klein-Gordon Lattices: General Derivation of Small Amplitude Envelope Soliton Solutions
• A symmetry breaking mechanism for selecting the speed of relativistic solitons

Cited by in corpus (2)

• Propagation of twist solitons in real DNA chains
• Twist solitons in complex macromolecules: from DNA to polyethylene