Vortex String Formation in a 3D U(1) Temperature Quench

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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4 pages, 4 figures, RevTex

Scientific paper

10.1103/PhysRevLett.82.2824

We report the first large scale numerical study of the dynamics of the second order phase transition of a U(1) $\lambda \phi^4$ theory in three spatial dimensions. The transition is induced by a time-dependent temperature drop in the heat bath to which the fields are coupled. We present a detailed account of the dynamics of the fields and vortex string formation as a function of the quench rate. The results are found in good agreement to the theory of defect formation proposed by Kibble and Zurek.

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