Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-02-14
J.Knot Theor.Ramifications 5 (1996) 489-515
Physics
High Energy Physics
High Energy Physics - Theory
26 pages
Scientific paper
The total twist number, which represents the first non-trivial Vassiliev knot invariant, is derived from the second order expression of the Wilson loop expectation value in the Chern-Simons theory. Using the well-known fact that the analytical expression is an invariant, a non-recursive formulation of the total twist based on the evaluation of knot diagrams is constructed by an appropriate deformation of the knot line in the three-dimensional Euclidian space. The relation to the original definition of the total twist is elucidated.
Hirshfeld Allen C.
Sassenberg Uwe
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