  We show that color confinement is a direct result of the nonabelian, i.e.
nonlinear, nature of the color interaction in quantum chromodynamics. This
makes it in general impossible to describe the color field as a collection of
elementary quanta (gluons). A quark cannot be an elementary quanta of the quark
field, as the color field of which it is the source is itself a source hence
making isolated (noninteracting) quarks impossible. In geometrical language,
the impossibility of quarks and gluons as physical particles arises due to the
fact that the color Yang-Mills space does not have a constant trivial
curvature.
