On the breathers of a(n)(1) affine Toda field theory

Sep, 1994
30 pages
Published in:
  • Int.J.Mod.Phys.A 10 (1995) 1879-1904
e-Print:
Report number:
  • DTP-94-35

Citations per year

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Abstract:
Explicit constructions of an (1)a_n~{(1)} affine Toda field theory breather solutions are presented. Breathers arise either from two solitons of the same species or from solitons which are anti-species of each other. In the first case, breathers carry topological charges. These topological charges lie in the tensor product representation of the fundamental representations associated with the topological charges of the constituent solitons. In the second case, breathers have zero topological charge. The breather masses are, as expected, less than the sum of the masses of the constituent solitons.
  • field theory: Toda
  • field theory: affine
  • dimension: 2
  • field equations: solution
  • charge: topological
  • group theory: representation
  • numerical calculations