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The maximal abelian gauge, monopoles, and vortices in SU(3) lattice gauge theory

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Title: The maximal abelian gauge, monopoles, and vortices in SU(3) lattice gauge theory
Authors: Stack, John D.1 j-stack@uiuc.edu, Tucker, William W.1, Wensley, Roy J.2
Source: Nuclear Physics B. Sep2002, Vol. 639 Issue 1/2, p203. 20p.
Subjects: Gauge field theory, Quarks
Abstract: We report on calculations of the heavy quark potential in SU(3) lattice gauge theory. Full SU(3) results are compared to three cases which involve gauge-fixing and projection. All of these start from the maximal abelian gauge (MAG), in its simplest form. The first case is abelian projection to U(1)×U(1). The second keeps only the abelian fields of monopoles in the MAG. The third involves an additional gauge-fixing to the indirect maximal center gauge (IMCG), followed by center projection to Z(3). At one gauge fixing/configuration, the string tensions calculated from MAG U(1)×U(1), MAG monopoles, and IMCG Z(3) are all less than the full SU(3) string tension. The projected string tensions further decrease, by approximately 10%, when account is taken of gauge ambiguities. Comparison is made with corresponding results for SU(2). It is emphasized that the formulation of the MAG is more subtle for SU(3) than for SU(2), and that the low string tensions may be caused by the simple MAG form used. A generalized MAG for SU(3) is formulated. [Copyright &y& Elsevier]
Copyright of Nuclear Physics B is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 7861991
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: The maximal abelian gauge, monopoles, and vortices in <f>SU(3)</f> lattice gauge theory
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  Data: <searchLink fieldCode="AR" term="%22Stack%2C+John+D%2E%22">Stack, John D.</searchLink><relatesTo>1</relatesTo><i> j-stack@uiuc.edu</i><br /><searchLink fieldCode="AR" term="%22Tucker%2C+William+W%2E%22">Tucker, William W.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Wensley%2C+Roy+J%2E%22">Wensley, Roy J.</searchLink><relatesTo>2</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Nuclear+Physics+B%22">Nuclear Physics B</searchLink>. Sep2002, Vol. 639 Issue 1/2, p203. 20p.
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  Data: We report on calculations of the heavy quark potential in <f>SU(3)</f> lattice gauge theory. Full <f>SU(3)</f> results are compared to three cases which involve gauge-fixing and projection. All of these start from the maximal abelian gauge (MAG), in its simplest form. The first case is abelian projection to <f>U(1)×U(1)</f>. The second keeps only the abelian fields of monopoles in the MAG. The third involves an additional gauge-fixing to the indirect maximal center gauge (IMCG), followed by center projection to <f>Z(3)</f>. At one gauge fixing/configuration, the string tensions calculated from MAG <f>U(1)×U(1)</f>, MAG monopoles, and IMCG <f>Z(3)</f> are all less than the full <f>SU(3)</f> string tension. The projected string tensions further decrease, by approximately 10%, when account is taken of gauge ambiguities. Comparison is made with corresponding results for <f>SU(2)</f>. It is emphasized that the formulation of the MAG is more subtle for <f>SU(3)</f> than for <f>SU(2)</f>, and that the low string tensions may be caused by the simple MAG form used. A generalized MAG for <f>SU(3)</f> is formulated. [Copyright &y& Elsevier]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Nuclear Physics B is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/S0550-3213(02)00537-0
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      – Code: eng
        Text: English
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        PageCount: 20
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      – SubjectFull: Gauge field theory
        Type: general
      – SubjectFull: Quarks
        Type: general
    Titles:
      – TitleFull: The maximal abelian gauge, monopoles, and vortices in <f>SU(3)</f> lattice gauge theory
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              Text: Sep2002
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