Reggeization of elementary fermions in arbitrary renormalizable gauge theories

Journal Article · Mon Mar 31 23:00:00 EST 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.21.1952· OSTI ID:5318481

Grisaru, M T; Schnitzer, H J

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.

• Research Organization: Department of Physics, Brandeis University, Waltham, Massachusetts 02254
• OSTI ID: 5318481
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 21:7; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
COUPLING CONSTANTS
CP INVARIANCE
ELEMENTARY PARTICLES
FERMIONS
GAUGE INVARIANCE
HADRONS
HELICITY
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
MESON RESONANCES
MESONS
P INVARIANCE
PARTICLE MODELS
PARTICLE PROPERTIES
REGGE TRAJECTORIES
RENORMALIZATION
RESONANCE PARTICLES
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
UNIFIED GAUGE MODELS
VECTOR MESONS
WEINBERG-SALAM GAUGE MODEL