Quantizing Yang-Mills Theory on a 2-Point Space

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages, Latex; a reference exchanged, inclusion of a "Note Added", correction of trivial typing errors in (4.7) and in (4.8)

Scientific paper

We perform the Batalin-Vilkovisky quantization of Yang-Mills theory on a
2-point space, discussing the formulation of Connes-Lott as well as Connes'
real spectral triple approach. Despite of the model's apparent simplicity the
gauge structure reveals infinite reducibility and the gauge fixing is afflicted
with the Gribov problem.

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