$n$-point functions of $2d$ Yang-Mills theories on Riemann surfaces

Details $n$-point functions of $2d$ Yang-Mills theories on Riemann surfaces $n$-point functions of $2d$ Yang-Mills theories on Riemann surfaces

1996-06-12

arxiv.org/abs/hep-th/9606071v1

Int.J.Mod.Phys. A12 (1997) 1959-1966

Physics

High Energy Physics

High Energy Physics - Theory

8 pages,latex

Scientific paper

Using the simple path integral method we calculate the $n$-point functions of field strength of Yang-Mills theories on arbitrary two-dimensional 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-abelian semisimple compact gauge groups we find the non-gauge invariant correlators 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-invariant Green functions and show that they correspond to a free field theory.

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