Reconstruction of the spontaneously broken gauge theory in non-commutative geometry

dc.creatorOkumura, Yoshitaka
dc.creatorMorita, Katsusada
dc.date1995-10-07
dc.date1995-10-17
dc.date.accessioned2026-07-07T12:03:49Z
dc.date.available2026-07-07T12:03:49Z
dc.descriptionThe scheme previously proposed by the present authors is modified to incorporate the strong interaction by affording the direct product internal symmetry. We do not need to prepare the extra discrete space for the color gauge group responsible for the strong interaction to reconstruct the standard model and the left-right symmetric gauge model(LRSM). The approach based on non-commutative geometry leads us to presents many attractive points such as the unified picture of the gauge and Higgs field as the generalized connection on the discrete space; Minkowski space multipied by N-points discrete space. This approach leads us to unified picture of gauge and Higgs fields as the generalized connection. The standard model needs N=2 discrete space for reconstruction in this formalism. \lr is still alive as a model with the intermediate symmetry of the spontaneously broken SO(10) grand unified theory(GUT). N=3 discrete space is needed for the reconstruction of LRSM to include two Higgs bosons $ϕ$ and $ξ$ which are as usual transformed as (2,2*,0)$ and (1,3,-2) under left-handed SU(2)x right-handed SU(2)x U(1), respectively. xi is responsible to make the right handed-neutrino Majorana fermion and so well explains the seesaw mechanism. Up and down quarks have the different masses through the vacuum expectation value of phi.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9510039
dc.identifierhttp://arxiv.org/abs/hep-th/9510039
dc.identifierNuovoCim.A109:311-326,1996
dc.identifierdoi:10.1007/BF02731017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207919
dc.subjectHigh Energy Physics - Theory
dc.titleReconstruction of the spontaneously broken gauge theory in non-commutative geometry
dc.typetext

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