Quantizing Yang-Mills Theory on a 2-Point Space
High Energy Physics - Theory
2015-06-26 v2
Abstract
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.
Cite
@article{arxiv.hep-th/0109134,
title = {Quantizing Yang-Mills Theory on a 2-Point Space},
author = {H. Huffel},
journal= {arXiv preprint arXiv:hep-th/0109134},
year = {2015}
}
Comments
13 pages, Latex; a reference exchanged, inclusion of a "Note Added", correction of trivial typing errors in (4.7) and in (4.8); to appear in JMP