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Hadronization of Quark Theories

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Understanding the Fundamental Constituents of Matter

Part of the book series: The Subnuclear Series ((SUS,volume 14))

Abstract

Local quark gluon theories are converted into bilocal field theories via functional techniques. The new field quanta consist of all quark antiquark bound states in the ladder approximation. They are called “bare hadrons”. Hadronic Feynman graphs are developed which strongly resemble dual diagrams. QED is a special case with the “bare hadrons” being positronium atoms. Photons couple to hadrons via intermediate vector mesons in a current-field identity. The new theory accommodates naturally bilocal currents measured in deep-inelastic e p scattering Also these couple via intermediate mesons.

In the limit of heavy gluon masses, the hadron fields become local and describe π,ϱ,A1,σ mesons in a chirally invariant Lagrangian (the “σ model”). Many interesting new relations are found between meson and quark properties such as mϱ 2≈6M2 where M is the“true” non-strange quark mass after spontaneous breakdown of chiral symmetry. There is a simple formula linking these quark masses with the small “bare masses” of the Lagrangian. The quark masses also determine the vacuum expectations of scalar densities, These show an SU(3) breaking in the vacuum of ≈ − 16%.

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  1. Institut für Theoretische Physik, Freie Universität Berlin, Berlin, Germany

    Hagen Kleinert

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  1. Hagen Kleinert
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  1. European Physical Society, Geneva, Switzerland

    Antonino Zichichi

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© 1978 Plenum Press, New York

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Kleinert, H. (1978). Hadronization of Quark Theories. In: Zichichi, A. (eds) Understanding the Fundamental Constituents of Matter. The Subnuclear Series, vol 14. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-0931-4_7

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  • DOI: https://doi.org/10.1007/978-1-4684-0931-4_7

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-0933-8

  • Online ISBN: 978-1-4684-0931-4

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