Giant vortex strings in 3+1D Abelian Higgs models admit essentially exact solutions that fall into sharply distinct phases in the large-n limit, determined by the form of the Higgs potential and governing their binding energies and stability.
Phase Transition in a Lattice Model of Superconductivity,
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Phases of Giant Magnetic Vortex Strings
Giant vortex strings in 3+1D Abelian Higgs models admit essentially exact solutions that fall into sharply distinct phases in the large-n limit, determined by the form of the Higgs potential and governing their binding energies and stability.