Gauge Field Theories on Riemann Surfaces

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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22 pages, Plain TeX, to appear in Helv. Phys. Acta

Scientific paper

In this paper the free gauge field theories on a Riemann surface of any genus
are quantized in the covariant gauge. The propagators of the gauge fields are
explicitly derived and their properties are analysed in details. As an
application, the correlation functions of a Yang-Mills field theory with gauge
group $SU(N)$ are computed at the lowest order.

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