  A new non-Abelian gauge transformation for two-forms is introduced.
Construction is based on a fixed map from the spacetime to the loop space which
attachs a closed loop to each point of the spacetime. It is argued that this
set-up is consistent with the surface ordering ambiguity which is the main
problem to construct the Wilson surface operator for non-Abelian groups. With
the aim of the Wilson surface operator, we achieve a non-Abelian gauge
transformation for two-forms. We interpret the Dirac operator as a vector field
and define a covariant derivative and rederive the gauge transformation of the
two-form. At the end, we construct an Abelian interacting gauge theory in six
dimensions.
