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Symmetries of Quarks and Leptons

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The Whys of Subnuclear Physics

Part of the book series: The Subnuclear Series ((SUS,volume 15))

Abstract

The course is divided in four Chapters corresponding to three lectures. After an introductory first chapter, the second deals with the symmetries of strong interactions from a quark point of view. We shall discuss the SU(6) × SO(3) symmetry of low lying hadrons in relation to the field theory of quarks (chromodynamics). The subject of the second lecture (Chapter III) is the unification of the internal symmetries of quarks and leptons through exceptional groups. We shall see how strong interactions, based on a gauge theory of weak and electromagnetic interactions can be further unified in a gauge theory based on exceptional groups, E6 being the best candidate. The third lecture (Chapter IV) is devoted to a speculation concerning the origin of internal symmetries of quarks and leptons. There are some unique exceptional geometries which are connected with octonions and correspond to a finite number of degrees of freedom that cannot be extended. This is the new Hilbert space that we want tentatively to identify with the Hilbert space of internal symmetries carrying color and flavor quantum numbers.

Research supported in part (Yale Report #C00-3075-211) by the U.S. Dept. of Energy under Contract No. EY-76-C-02-3075.

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  1. Yale University, New Haven, Conn., 06520, USA

    F. Gürsey

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  1. European Physical Society, Geneva, Switzerland

    Antonino Zichichi

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Gürsey, F. (1979). Symmetries of Quarks and Leptons. In: Zichichi, A. (eds) The Whys of Subnuclear Physics. The Subnuclear Series, vol 15. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-0991-8_21

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