Quantizing Yang-Mills Theory on a 2-Point Space
H. Huffel
TL;DR
This paper explores the quantization of Yang-Mills theory on a simple 2-point space using advanced mathematical frameworks, revealing complex gauge structures and issues like Gribov ambiguities.
Contribution
It applies Batalin-Vilkovisky quantization to a minimal model, comparing Connes-Lott and spectral triple approaches, and uncovers intricate gauge properties.
Findings
Infinite reducibility of gauge structure
Presence of Gribov problem in gauge fixing
Insights into noncommutative geometric formulations
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.
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