BRST invariant formulation of spontaneously broken gauge theory in generalized differential geometry

Details BRST invariant formulation of spontaneously broken gauge theory in generalized differential geometry BRST invariant formulation of spontaneously broken gauge theory in generalized differential geometry

1999-09-04

arxiv.org/abs/hep-th/9909026v1

J.Math.Phys. 41 (2000) 1788-1800

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

10.1063/1.533212

Noncommutative geometry(NCG) on the discrete space successfully reproduces the Higgs mechanism of the spontaneously broken gauge theory, in which the Higgs boson field is regarded as a kind of gauge field on the discrete space. We could construct the generalized differential geometry(GDG) on the discrete space $M_4\times Z_N$ which is very close to NCG in case of $M_4\times Z_2$. GDG is a direct generalization of the differential geometry on the ordinary manifold into the discrete one. In this paper, we attempt to construct the BRST invariant formulation of spontaneously broken gauge theory based on GDG and obtain the BRST invariant Lagrangian with the t'Hooft-Feynman gauge fixing term.

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