Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-01-13
Physics
High Energy Physics
High Energy Physics - Theory
19 pages, LaTeX, MPI-Ph/93-107
Scientific paper
We present a formal but simple calculational scheme to relate the expectation value of Wilson loops in Chern-Simons theory to the Jones polynomial. We consider the exponential of the generator of homotopy transformations which produces the finite loop deformations that define the crossing change formulas of knot polynomials. Applying this operator to the expectation value of Wilson loops for an unspecified measure we find a set of conditions on the measure and the regularization such that the Jones polynomial is obtained.
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