Domain wall networks on solitons

May, 2003
15 pages
Published in:
  • Phys.Rev.D 68 (2003) 085004
e-Print:

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Abstract: (arXiv)
Domain wall networks on the surface of a soliton are studied in a simple theory. It consists of two complex scalar fields, in (3+1)-dimensions, with a global U(1) x Z_n symmetry, where n>2. Solutions are computed numerically in which one of the fields forms a Q-ball and the other field forms a network of domain walls localized on the surface of the Q-ball. Examples are presented in which the domain walls lie along the edges of a spherical polyhedron, forming junctions at its vertices. It is explained why only a small restricted class of polyhedra can arise as domain wall networks.
Note:
  • 16 pages, including figures. v2 includes a discussion of Archimedean networks
  • 11.10.Lm
  • field theory: scalar
  • soliton
  • domain wall: network
  • energy: density
  • symmetry: U(1) x Z(N)
  • Q-ball
  • numerical calculations