where formula_129 means the operator formula_112 but with the reverse factor ordering (remember from simple quantum mechanics where the product of operators is reversed under conjugation). The action of this operator on the Wilson loop is evaluated as a calculation in the connection representation and the result is rearranged purely as a manipulation in terms of loops (with regard to the action on the Wilson loop, the chosen transformed operator is the one with the opposite factor ordering compared to the one used for its action on wavefunctions <math>\Psi This gives the physical meaning of the operator formula_114. For example, if formula_132 corresponded to a spatial diffeomorphism, then this can be thought of as keeping the connection field formula_69 of formula_134 where it is while performing a spatial diffeomorphism on formula_95 instead. Therefore, the meaning of formula_114 is a spatial diffeomorphism on formula_95, the argument of formula_115.