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Monopole creation operators as confinement–deconfinement order parameters

2002/12/02 by V. A. Belavin, V.A. Belavin, M. N. Chernodub +3 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1016/s0370-2693(03)00008-x

published as Phys.Lett. B554 (2003) 146-154 · 12 pages, 7 figures, LaTeX2e

arxiv created 2002/12/02 · openalex publication_date 2003/02/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study numerically two versions of the monopole creation operators proposed by Fröhlich and Marchetti. The disadvantage of the old version of the monopole creation operator is due to visibility of the Dirac string entering the definition of the creation operator in the theories with coexisting electric and magnetic charges. This problem does not exist for the new creation operator which is rather complicated. Using the Abelian Higgs model with a compact gauge field we show that both definitions of the monopole creation operator can serve as order parameters for the confinement–deconfinement phase transition. The value of the monopole condensate for the old version depends on the length of Dirac string. However, as soon as the length is fixed the old operator certainly discriminates between the phases with condensed and noncondensed monopoles.

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