2007/02/27 by Mariano Cadoni, M. Cadoni, R. De Leo +2
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Mechanical and Optical Resonators #Nonlinear Photonic Systems #Quantum Mechanics and Non-Hermitian Physics #hep-th #math-ph #math.MP #nlin.PS #q-bio.BM
paper · pdf · doi:10.1088/1751-8113/40/29/022
published as J.Phys.A40:8517-8534,2007 · 23 pages, no figures
arxiv created 2007/02/27 · openalex publication_date 2007/07/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a mechanism for fixing the velocity of relativistic solitons based \non the breaking of the Lorentz symmetry of the sine-Gordon (SG) model. The \nproposal is first elaborated for a molecular chain model as the simple pendulum \nlimit of a double pendulums chain. It is then generalized to a full class of twodimensional \nfield theories of the sine-Gordon type. From a phenomenological \npoint of view, the mechanism allows one to select the speed of a SG soliton \njust by tuning elastic couplings constants and kinematical parameters. From \na fundamental, field-theoretical point of view we show that the characterizing \nfeatures of relativistic SG solitons (existence of conserved topological charges \nand stability) may be still preserved even if the Lorentz symmetry is broken \nand a soliton of a given speed is selected.