N-POINT FUNCTIONS OF 2D YANG-MILLS THEORIES ON RIEMANN SURFACES

Using the simple path integral method we calculate the n-point functio ns of field strength of Yang-Mills theories on arbitrary two-dimension al Riemann surfaces. In U(1) case we show that the correlators consist of two parts, a free and an x-independent part. In the case of non-Ab elian semisimple compact gauge groups we find the nongauge-invariant c orrelators in Schwinger-Fock gauge and show that it is also divided to a free and an almost x-independent part. We also find the gauge-invar iant Green functions and show that they correspond to a free field the ory.