The Densities, Correlations and Length Distributions of Vortices Produced at a Gaussian Quench

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We present a model for the formation of relativistic global vortices (strings) at a quench, and calculate their density and correlations. The significance of these results to early universe and condensed-matter physics is discussed. In particular, there is always open, or infinite, string.
uuencoded postscript file, 41 pages. Latex and postscript versions also available at http://euclid.tp.ph.ic.ac.uk/Papers/index.html

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