Integral formalism of gauge fields and general relativity

Yang's new integral theory for gauge fields associated with the group GL(n) is discussed for the particular case when GL(n) is reduced to SL(2, C). It is pointed out that, in this particular case, the theory gives the vacuum Einstein equations, but not the full equations. A modification giving nonvacuum equations consistent with the Einstein theory is pointed out. The field variables are then written as operators.