Solitons and breathers in sineGordon field theory
Abstract
Using Lamb's diagrammatic technique the most general Backlung transform solution of the sineGordon equation was obtained. The collision between a soliton and a breather results in a shift in their positions (spatial shift). Despite this, it is shown that there is no net force between them; periodic solutions exist in which they have zero relative velocity (aggregates). The construction of the sineGordon fluctuation vacuum as a coherent state was attempted. The superselection rule between different soliton sectors is discussed.
 Publication:

Ph.D. Thesis
 Pub Date:
 1978
 Bibcode:
 1978PhDT........62C
 Keywords:

 Field Theory (Physics);
 Particle Collisions;
 Sine Series;
 Solitary Waves;
 Analysis (Mathematics);
 Energy Levels;
 Scattering;
 Vacuum;
 Thermodynamics and Statistical Physics