Quantizing Yang-Mills theory on a two-point space

摘要

We perform the Batalin-Vilkovisky quantization of Yang-Mills theory on a two-point space, discussing the formulation of Connes-Lott as well as Connes' real spectral triple approach. Despite the model's apparent simplicity the gauge structure reveals infinite reducibility and the gauge fixing is afflicted with the Gribov problem. (C) 2002 American Institute of Physics. [References: 18]