Using Parisi and Sourlas dimensional reduction, four-dimensional quantum chromodynamics is reduced to a twodimensional principal chiral model by suitable superspace embedding. The frame Ta cannot be regarded as a fixed one and the frame connection field wμ (x) becomes a dynamical gauge field in two dimensions, giving rise to a confining potential. As a result of the original SU(3) Yang-Mills field obtains another SU(3) local symmetry and tus into SU(3)× SU(3) local symmetry－one group element as exp(iδφaTa) with fixed frame Ta, the other gauging the frame Ta.