An SU(4)/SU(2) Model as an Effort to Understand QCD, Confinement and Asymptotic Freedom

Dimitris Mastoridis; K. Kalogirou

doi:10.20944/preprints202009.0666.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 25 September 2020 / Approved: 27 September 2020 / Online: 27 September 2020 (07:39:43 CEST)

We investigate, whereas the SU(4)/SU(2) model, is viable for describing strong interactions. The existing problems of confinement and asymptotic freedom, two phenomena that can not be described by the SU(3) model, might indicate that we need something "larger" than the SU(3) model. The considered coset SU(4)/SU(2) or the Stiefel manifold V^2(C_4) contains an su(3) algebra, plus additional degrees of freedom that resembes the Feddev-Poppov concept. The richer structure of this coset, give us enough room, to seek for new phenomena, as its dimensionality is 12. The consideration of the SU(4)/SU(2) model flavors firstly the unification of nuclear fields (strong and weak) in an SU(4) model.

qcd; confinement; asymptotic freedom; standard model; coset;Stiefel manifolds

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An SU(4)/SU(2) Model as an Effort to Understand QCD, Confinement and Asymptotic Freedom

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