Primitive Vassiliev Invariants and Factorization in Chern-Simons Perturbation Theory

Details Primitive Vassiliev Invariants and Factorization in Chern-Simons Perturbation Theory Primitive Vassiliev Invariants and Factorization in Chern-Simons Perturbation Theory

1996-04-14

arxiv.org/abs/q-alg/9604010v1

Commun.Math.Phys. 189 (1997) 641-654

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, latex, 2 figures

Scientific paper

10.1007/s002200050222

The general structure of the perturbative expansion of the vacuum expectation value of a Wilson line operator in Chern-Simons gauge field theory is analyzed. The expansion is organized according to the independent group structures that appear at each order. It is shown that the analysis is greatly simplified if the group factors are chosen in a certain way that we call canonical. This enables us to show that the logarithm of a polinomial knot invariant can be written in terms of primitive Vassiliev invariants only.

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