Notes on Chern-Simons Theory in the Temporal Gauge

Abstract

We analyze the perturbative series expansion of vacuum expectation values (vevs) for Wilson loop operators in Chern-Simons (CS) gauge theory in the temporal gauge $A_0=0$. Following J. Labastida and E. Pérez we introduce the notion of the kernels of knot polynomial invariants - the (non-invariant) vevs of the Wilson loops, arising from CS theory in the temporal gauge. A method for exact calculation of the kernels of knot polynomial invariants is presented.

12 pages, 5 figures