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

M. Alimohammadi; M. Khorrami

doi:10.1142/s0217751x97001237

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arXiv · hep-th/9606071

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

M. Alimohammadi·M. Khorrami

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Abstract

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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M. Alimohammadi, M. Khorrami. 1996-06-12. $n$-point functions of $2d$ Yang-Mills theories on Riemann surfaces. https://doi.org/10.1142/s0217751x97001237

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