Domain wall networks on solitons
May, 2003Citations per year
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
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