Quantizing Yang-Mills Theory on a 2-Point Space

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.

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

References in corpus (1)

• Quantum field theory on a discrete space and noncommutative geometry

Cited by in corpus (2)

• Noncommutative geometry and the BV formalism: application to a matrix model
• On Batalin-Vilkovisky Formalism of Non-Commutative Field Theories