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Screening of the confinement potential in theSU(2) lattice gauge theory with scalar matter

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Zeitschrift für Physik C Particles and Fields

Abstract

Using theSU (2) Higgs system with dynamical scalar matter fields as a model for analyzing screening properties of the confining potential in gauge theories, we examine the Wilson loopW (T, R) and the gauge invariant 2-point functionG(T, R) by Monte Carlo simulations on a 164 lattice. For small values of the hopping parameterk these quantities show non-asymptotic area law behavior which changes to asymptotic perimeter law behavior ask increases. Close to the Higgs phase transition we find an indication that both these asymptotic and nonasymptotic terms are present simultaneously within the lattice at different distancesR andT and that the breaking of the confining flux tube by matter pair production occurs within the lattice. Introducing an appropriate ansatz forW(T, R) andG(T, R), respectively, we determine in this complex situation the string tension, the screening energy of the external sources, and the order parameter introduced by Fredenhagen and Marcu.

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Authors and Affiliations

  1. Institut für Theoretische Physik, RWTH Aachen, D-5100, Aachen, Federal Republic of Germany

    W. Bock, J. Jersák & H. A. Kastrup

  2. HLRZ c/o KFA Jülich, P.O. Box 1913, D-5170, Jülich, Federal Republic of Germany

    W. Bock, K. Jansen & J. Jersák

  3. II. Physikaliches Institut, Universität Hamburg, D-2000, Hamburg, Federal Republic of Germany

    H. G. Evertz

  4. Institute for Physics, University of Tsukuba, 305, Tsukuba, Japan

    K. Kanaya

  5. Center for Simulational Physics, University of Georgia, 30602, Athens, GA, USA

    D. P. Landau & J. L. Xu

  6. Institut für Theoretische Physik, Universität Bielefeld, D-4800, Bielefeld, Federal Republic of Germany

    T. Neuhaus

Authors
  1. W. Bock
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  2. H. G. Evertz
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  3. K. Jansen
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  4. J. Jersák
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  5. K. Kanaya
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  6. H. A. Kastrup
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  7. D. P. Landau
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  8. T. Neuhaus
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  9. J. L. Xu
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Supported by the Deutsches Bundesministerium für Forschung und Technologie and by the Deutsche Forschungsgemeinschaft

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Bock, W., Evertz, H.G., Jansen, K. et al. Screening of the confinement potential in theSU(2) lattice gauge theory with scalar matter. Z. Phys. C - Particles and Fields 45, 597–605 (1990). https://doi.org/10.1007/BF01556273

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  • DOI: https://doi.org/10.1007/BF01556273

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