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SOME WILSON LOOPS IN GRAVITATIONAL METRIC FIELDS

D. SHAO

College of Physics and Information Engineering, Jianghan University, Wuhan 430056, China

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L. SHAO

Department of Mathematical Sciences, Ibaraki University, Mito 310-8512, Japan

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H. NODA

Department of Mathematical Sciences, Ibaraki University, Mito 310-8512, Japan

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C. G. SHAO

Institute of Theoretical Physics, Hubei University, Wuhan 430062, China

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https://doi.org/10.1142/S0217751X04020853Cited by:1 (Source: Crossref)

Abstract

We calculated some Wilson loop functionals in a static sphere-symmetrical diagonal metric field, the Robertson–Walker (RW) metric field and a gravitational metric field established by cosmic string, respectively, and calculated the leading term W₍₂₎ and the term W₍₄₎ of a Wilson loop in Kerr metric field. Using the direction change of vector when it is parallel transported in the metric field of cosmic string, the cone symmetry of the metric field is demonstrated.

Keywords:

PACS: 04.20

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