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Abelian Higgs model effective potential in the presence of vortices

2005/06/30 by Rudnei O. Ramos, J. F. Medeiros Neto, Daniel G. Barci +2
Physics and Astronomy · #Particle physics theoretical and experimental studies #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #cond-mat.soft #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.72.103524

published as Phys.Rev. D72 (2005) 103524 · 16 pages. Revised version (to appear in the Physical Review D). New references added

arxiv created 2005/11/08 · openalex publication_date 2005/11/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine the contribution of nontrivial vacuum (topological) excitations, more specifically vortex-strings of the Abelian Higgs model in 3+1 dimensions, to the functional partition function. By expressing the original action in terms of dual transformed fields we make explicit in the equivalent action the contribution of the vortex-strings excitations of the model. The effective potential of an appropriately defined local vacuum expectation value of the vortex-string field in the dual transformed action is then evaluated both at zero and finite temperatures and its properties discussed in the context of the finite-temperature phase transition.

Citations