Reggeization of Gauge Vector Mesons and Unified Theories

Grisaru, Marcus T.; Schnitzer, Howard J.

doi:10.1103/PhysRevD.20.784

Reggeization of Gauge Vector Mesons and Unified Theories

Marcus T. Grisaru
(
- Brandeis U.
)
,
Howard J. Schnitzer
(
- Brandeis U.
)

Apr, 1979

26 pages

Published in:

Phys.Rev.D 20 (1979) 784

DOI:

10.1103/PhysRevD.20.784

Report number:

Print-79-0341 (BRANDEIS)

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Abstract: (APS)

An arbitrary, renormalizable non-Abelian gauge theory with gauge group g, and arbitrary scalar and fermion representation structure is considered. It is shown that all the gauge vector mesons of the theory lie on a Regge trajectory if and only if g is semisimple, i.e., Abelian subgroups are excluded. Implications for unified and grand unified theories of the weak and electromagnetic interactions are discussed. The photon, which does not Reggeize in the Weinberg-Salam theory, will lie on a Regge trajectory in a grand unified theory. If the Higgs-meson mass of the electroweak theory is large (≳ 300 GeV, say), then Regge recurrences of the intermediate vector bosons should occur at energies of the order of 2-4 TeV. If the Higgs boson of the unified theory is light (< 100 GeV), then Regge recurrences of the gauge mesons are not expected for energies below the grand-unification mass of order μW2 exp(1g2).

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