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

Abstract

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.

15 pages

References in corpus (7)

• The Standard Model as a noncommutative geometry: the low energy regime
• Noncommutative Kaluza-Klein Theory
• BRST Quantization of Gauge Theory in Noncommutative Geometry: Matrix Derivative Approach
• Non-Commutative Differential Geometry and Standard Model
• Non-Commutative Differential Geometry on Discrete Space $M_4\times Z\ma{N}$ and Gauge Theory
• New Incorporation of the Strong Interaction in NCG and Standard Model
• BRST invariant Lagrangian of spontaneously broken gauge theories in noncommutative geometry

Cited by in corpus (1)

• A Field-Theoretic Approach to Connes' Gauge Theory on $M_4\times Z_2$