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arXiv · hep-ph/9807248

The length distribution of vortex strings in U(1) equilibrium scalar field theory

N. D. Antunes·L. M. A. Bettencourt
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Abstract

We characterize the statistical length distribution of vortex strings by studying the non-perturbative thermodynamics of scalar U(1) field theory in 3D. All parameters characterizing the length distributions exhibit critical behavior at $T_c$ and we measure their associated critical exponents. Moreover we show that vortex strings are generally self-seeking at finite temperature and that there exists a natural separation between long strings and small loops based on their spatial correlation behavior.

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N. D. Antunes, L. M. A. Bettencourt. 1998-07-04. The length distribution of vortex strings in U(1) equilibrium scalar field theory. https://doi.org/10.1103/physrevlett.81.3083

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