Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-06-11
Phys.Rev.D76:103520,2007
Physics
High Energy Physics
High Energy Physics - Theory
16 pages and 9 figures. (Minor changes and new references added)
Scientific paper
10.1103/PhysRevD.76.103520
We study the formation of cosmic strings by confining a stochastic magnetic field into flux tubes in a numerical simulation. We use overdamped evolution in a potential that is minimized when the flux through each face in the simulation lattice is a multiple of the fundamental flux quantum. When the typical number of flux quanta through a correlation-length-sized region is initially about 1, we find a string network similar to that generated by the Kibble-Zurek mechanism. With larger initial flux, the loop distribution and the Brownian shape of the infinite strings remain unchanged, but the fraction of length in infinite strings is increased. A 2D slice of the network exhibits bundles of strings pointing in the same direction, as in earlier 2D simulations. We find, however, that strings belonging to the same bundle do not stay together in 3D for much longer than the correlation length. As the initial flux per correlation length is decreased, there is a point at which infinite strings disappear, as in the Hagedorn transition.
Blanco-Pillado Jose J.
Olum Ken D.
Vilenkin Alexander
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