Cosmic string formation by flux trapping - High Energy Physics - TheoryReport as inadecuate

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Abstract: We study the formation of cosmic strings by confining a stochastic magneticfield into flux tubes in a numerical simulation. We use overdamped evolution ina potential that is minimized when the flux through each face in the simulationlattice is a multiple of the fundamental flux quantum. When the typical numberof flux quanta through a correlation-length-sized region is initially about 1,we find a string network similar to that generated by the Kibble-Zurekmechanism. With larger initial flux, the loop distribution and the Brownianshape of the infinite strings remain unchanged, but the fraction of length ininfinite strings is increased. A 2D slice of the network exhibits bundles ofstrings 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 3Dfor much longer than the correlation length. As the initial flux percorrelation length is decreased, there is a point at which infinite stringsdisappear, as in the Hagedorn transition.

Author: Jose J. Blanco-Pillado, Ken D. Olum, Alexander Vilenkin


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