Non-Abelian Stokes Theorem for Loop Variables Associated with Nontrivial Loops

The non-Abelian Stokes theorem for loop variables associated with nontrivial loops (knots and links) is derived. It is shown that a loop variable is in general different from unity even if the field strength vanishes everywhere on the surface surrounded by the loop.

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Veröffentlicht in:Progress of theoretical and experimental physics 1998-10, Vol.100 (4), p.817-830
Hauptverfasser: Hirayama, Minoru, Kanno, Mika, Ueno, Masataka, Yamakoshi, Hitoshi
Format: Artikel
Sprache:eng
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Zusammenfassung:The non-Abelian Stokes theorem for loop variables associated with nontrivial loops (knots and links) is derived. It is shown that a loop variable is in general different from unity even if the field strength vanishes everywhere on the surface surrounded by the loop.
ISSN:0033-068X
2050-3911
1347-4081
DOI:10.1143/PTP.100.817