  We propose a gauge model of quantum electrodynamics (QED) and its nonabelian
generalization from which we derive knot invariants such as the Jones
polynomial. Our approach is inspired by the work of Witten who derived knot
invariants from quantum field theory based on the Chern-Simon Lagrangian. From
our approach we can derive new knot and link invariants which extend the Jones
polynomial and give a complete classification of knots and links. From these
new knot invariants we have that knots can be completely classified by the
power index $m$ of $TrR^{-m}$ where $R$ denotes the $R$-matrix for braiding and
is the monodromy of the Knizhnik-Zamolodchikov equation. A classification table
of knots can then be formed where prime knots are classified by prime integer
$m$ and nonprime knots are classified by nonprime integer $m$.
