BRS Symmetry in Connes' Non-commutative Geometry
High Energy Physics - Phenomenology
2009-10-28 v1
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.
Cite
@article{arxiv.hep-ph/9505292,
title = {BRS Symmetry in Connes' Non-commutative Geometry},
author = {B. E. Hanlon and G. C. Joshi},
journal= {arXiv preprint arXiv:hep-ph/9505292},
year = {2009}
}
Comments
28 pages, To appear in the Journal of Physics A