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arXiv · hep-ph/9505292

BRS Symmetry in Connes' Non-commutative Geometry

B. E. Hanlon·G. C. Joshi
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Abstract

We extend the BRS and anti-BRS symmetry to the two point space of Connes' non-commutative model building scheme. The constraint relations are derived and the quantum Lagrangian constructed. We find that the quantum Lagrangian can be written as a functional of the curvature for symmetric gauges with the BRS, anti-BRS auxiliary field finding a geometrical interepretation as the extension of the Higgs scalar.

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B. E. Hanlon, G. C. Joshi. 1995-05-12. BRS Symmetry in Connes' Non-commutative Geometry. https://doi.org/10.1088/0305-4470%2F28%2F10%2F018

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