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An SU(4)/SU(2) Model as an Effort to Understand QCD, Confinement and Asymptotic Freedom
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: Received: 25 September 2020 / Approved: 27 September 2020 / Online: 27 September 2020 (07:39:43 CEST)
How to cite: Mastoridis, D.; Kalogirou, K. An SU(4)/SU(2) Model as an Effort to Understand QCD, Confinement and Asymptotic Freedom. Preprints 2020, 2020090666 (doi: 10.20944/preprints202009.0666.v1). Mastoridis, D.; Kalogirou, K. An SU(4)/SU(2) Model as an Effort to Understand QCD, Confinement and Asymptotic Freedom. Preprints 2020, 2020090666 (doi: 10.20944/preprints202009.0666.v1).
Abstract
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.
Subject Areas
qcd; confinement; asymptotic freedom; standard model; coset;Stiefel manifolds
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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