Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-02-27
J.Phys.A40:8517-8534,2007
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, no figures
Scientific paper
10.1088/1751-8113/40/29/022
We propose a mechanism for fixing the velocity of relativistic soliton based on the breaking of the Lorentz symmetry of the sine-Gordon (SG) model. The proposal is first elaborated for a molecular chain model, as the simple pendulum limit of a double pendulums chain. It is then generalized to a full class of two-dimensional field theories of the sine-Gordon type. From a phenomenological point of view, the mechanism allows one to select the speed of a SG soliton just by tuning elastic couplings constants and kinematical parameters. From a fundamental, field-theoretical point of view we show that the characterizing features of relativistic SG solitons (existence of conserved topological charges and stability) may be still preserved even if the Lorentz symmetry is broken and a soliton of a given speed is selected.
Cadoni Mariano
Gaeta Giuseppe
Leo Roberto de
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