BRS Symmetry in Connes' Non-commutative Geometry

Details BRS Symmetry in Connes' Non-commutative Geometry BRS Symmetry in Connes' Non-commutative Geometry

1995-05-12

arxiv.org/abs/hep-ph/9505292v1

J.Phys. A28 (1995) 2889-2904

Physics

High Energy Physics

High Energy Physics - Phenomenology

28 pages, To appear in the Journal of Physics A

Scientific paper

10.1088/0305-4470/28/10/018

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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