Gauge Hierarchies in Unified Theories

  • Itzhak Bars
Part of the Studies in the Natural Sciences book series (SNS, volume 16)


The problem of gauge hierarchies is reviewed. A distinction is made between gauge hierarchy in each order of perturbation theory and gauge hierarchy in the full theory. It is shown that, in the full theory, in all cases, it is possible to arrange for a phenomenologically adequate hierarchy provided certain effective mass parameters are restricted to be small or zero. The problem of hierarchy in each order of perturbation theory is clarified and the necessary conditions for the existence of such models are discussed.


Perturbation Theory Higgs Boson Gauge Boson Unify Theory Full Theory 
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Notes and References

  1. 1.
    H. Georgi, H. Quinn, and S. Weinberg, Phys. Rev. Lett. 33, 451 (1974).CrossRefGoogle Scholar
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    For a review see D. V. Nanopoulos, previous talk in this conference.Google Scholar
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    E. Gildener, Phys. Rev. D14, 1667 (1976).Google Scholar
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    A. J. Buras, J. Ellis, M. K. Gaillard, and D. V. Nanopoulos, Nucl. Phys. B135, 66 (1978).CrossRefGoogle Scholar
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    I. Bars and M. Serdaroglu, Yale preprint C00-3075-188 (revised).Google Scholar
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    R. N. Mohapatra and G. Senjanovic, CCNY preprint CCNY-HEP-78/6 (revised).Google Scholar
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    K. T. Mahanthappa and D. G. Unger, Phys. Lett. 7B, 604 (1970); K. T. Mahanthappa, M. A. Sher, and D. G. Unger, preprint C0L0- HEP-8.Google Scholar
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    O. K. Kalashnikov and V. V. Klimov, Lebedev preprint #110.Google Scholar
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    S. Weinberg, Harvard preprint HUTP-78/AO6O.Google Scholar
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    S. Coleman and E. Weinberg, Phys. Rev. D7, 1888 (1973), see also S. Weinberg, Phys. Rev. D7, 2887 (1973).Google Scholar
  11. 11.
    The large logarithms that occur in such calculations (e.g., refs. 6,7) must be controlled by using the renormalization group as in ref. 10.Google Scholar
  12. 12.
    T. Appelquist and J. Carazzone, Phys. Rev. D11, 2856 (1975).Google Scholar
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    For detailed formulas see e.g., T. P. Cheng, E. Eichten, and L. F. Li, Phys. Rev. D9, 2259 (1974).Google Scholar
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    E. Gildener and S. Weinberg, Phys. Rev. D13, 3333 (1976).CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1979

Authors and Affiliations

  • Itzhak Bars
    • 1
  1. 1.Institute for Advanced StudyPrincetonUSA

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