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On a Change of SU(3) into Three SU(2)\(\times \)U(1)

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Quantum Mechanics in the Geometry of Space-Time

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Abstract

In the use of the group \(SU(3),\) the simple replacement of the eighth vector \(G^8\,\hbox{by}\,G^8/\sqrt{3}\) allows to replace this group by the direct product of three \(SU(2)\times U(1).\) Also it allows the geometrical interpretation of the theories in which \(SU(3)\) is used. A question may be posed: is this change suitable for the Quantum Chromodynamics Theory?

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References

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Correspondence to Roger Boudet .

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© 2011 Springer-Verlag Berlin Heidelberg

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Boudet, R. (2011). On a Change of SU(3) into Three SU(2)\(\times \)U(1). In: Quantum Mechanics in the Geometry of Space-Time. SpringerBriefs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19199-2_12

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  • DOI: https://doi.org/10.1007/978-3-642-19199-2_12

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-19198-5

  • Online ISBN: 978-3-642-19199-2

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