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Super long-range vortices

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arxiv 2503.08856 v1 pith:AJRTBF44 submitted 2025-03-11 hep-th

Super long-range vortices

classification hep-th
keywords magneticbehaviordensityfieldlogarithmiclong-rangemodelspermeability
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this work, we investigate the presence of vortex configurations with logarithmic tails, which we call super long-range vortices, in Maxwell-Higgs models with gauge field dynamics modified by generalized magnetic permeability in the Lagrangian density. By taking advantage of a first-order formalism, we study which behavior the magnetic permeability must have in order to allow for the presence of the logarithmic tails in the solutions. We also analyze the asymptotic behavior of the magnetic field and energy density. To illustrate our procedure, we present two models; one of them is described by analytical solutions.

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