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Renormalization of scalar quartic and Yukawa couplings in unified gauge theories based onE 6

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Zeitschrift für Physik C Particles and Fields

Abstract

Renormalization group equations for scalar and Yukawa couplings in gauge theories based on the exceptional groupE 6 are analyzed. Asymptotic freedom is possible only for a limited set of scalar fields, and then only if several fermion generations are present. The infrared behavior of the scalar quartic coupling constants is striking: they are necessarily driven out of the region of positivity of the classical potential. Some useful group theoretic relations inE 6 are given in an Appendix.

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Authors and Affiliations

  1. Physics Department, Northeastern University, 02115, Boston, MA, USA

    Thomas W. Kephart & Michael T. Vaughn

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  1. Thomas W. Kephart
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  2. Michael T. Vaughn
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Kephart, T.W., Vaughn, M.T. Renormalization of scalar quartic and Yukawa couplings in unified gauge theories based onE 6 . Z. Phys. C - Particles and Fields 10, 267–273 (1981). https://doi.org/10.1007/BF01549735

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  • DOI: https://doi.org/10.1007/BF01549735

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