Reggeization of Elementary Fermions in Arbitrary Renormalizable Gauge Theories

Dec, 1979
42 pages
Published in:
  • Phys.Rev.D 21 (1980) 1952
Report number:
  • Print-79-1005 (BRANDEIS)

Citations per year

198019891998200720162103
Abstract: (APS)
An arbitrary, renormalizable non-Abelian gauge theory with gauge group G and arbitrary scalar and fermion structure is considered. Necessary conditions for all the fermions of the theory to lie on Regge trajectories are derived. If no fermion transforms as a singlet under G, then all fermions Reggeize. If some fermions transform as singlets under G, then certain group-theoretic constraints on the fermion mass matrix must be satisfied if all fermions are to Reggeize. These methods are applied to the Weinberg-Salam and grand unified theories. As a by-product of this study, kinematical-singularity-free, signatured helicity amplitudes are constructed which allow for P and CP violation. Such amplitudes may be useful for applications outside the context of the Regge program.
  • GAUGE FIELD THEORY: NONABELIAN
  • GAUGE FIELD THEORY: RENORMALIZABLE
  • FERMION: REGGE POLES
  • GROUP THEORY
  • FERMION: MASS SPECTRUM
  • MASS SPECTRUM: FERMION
  • FIELD THEORETICAL MODEL: WEINBERG
  • UNIFIED FIELD THEORY
  • WEAK INTERACTION
  • ELECTROMAGNETIC INTERACTION