Integral Formalism of Gauge Fields and General Relativity

Yang's new integral theory for gauge fields associated with the group $\mathrm{GL}(n)$ is discussed for the particular case when $\mathrm{GL}(n)$ is reduced to $\mathrm{SL}(2, C)$. 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.