%0 Journal Article
%T The length distribution of vortex strings in U(1) equilibrium scalar field theory
%A N. D. Antunes
%A L. M. A. Bettencourt
%J Physics
%D 1998
%I arXiv
%R 10.1103/PhysRevLett.81.3083
%X 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.
%U http://arxiv.org/abs/hep-ph/9807248v1