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Conditions for renormalizability of quantum flavor dynamics

Technical Report ·
DOI:https://doi.org/10.2172/6460872· OSTI ID:6460872
The presence of a new anomaly, in addition to the Adler-Bell-Jackiw (ABJ) anomaly, is shown for gauge theories with ..gamma../sub 5/ couplings. The ABJ anomaly is discussed first by shifting variable of a linearly-divergent integral, then by dimensional regularization. Using the second method, the general nonabelian case is considered, in the presence of an overlapping divergence. A new anomaly is discovered which is not, in general cancelled by the usual restrictions because fermion masses are involved, assuming no cancellation between different Feynman diagrams, and current-algebra quark masses, then leads to the conclusion that the standard model of quantum flavor dynamics (i.e., that of Glashow, Salam, Ward, Weinberg, Kobayashi and Maskawa) is non-renormalizable. Imposition of renormalizability dictates that new dynamical constraints be met. Hence, only that part of the quark mass corresponding to the lepton mass in the same quark-lepton generation is generated by the electroweak interactions. The remaining mass comes presumably from the strong interaction for which the dynamical theory must therefore have at least some flavor dependence; this is not the case for e.g., quantum chromodynamics which is totally flavor-blind. 48 references.
Research Organization:
Ohio State Univ., Columbus (USA). Dept. of Physics
DOE Contract Number:
EY-76-C-02-1545
OSTI ID:
6460872
Report Number(s):
COO-1545-249
Country of Publication:
United States
Language:
English

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Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
BOUNDARY CONDITIONS
COMPOSITE MODELS
COUPLING
CURRENT ALGEBRA
DIAGRAMS
DIMENSIONS
ELECTROMAGNETIC INTERACTIONS
ELECTROPRODUCTION
ELEMENTARY PARTICLES
FERMIONS
FEYNMAN DIAGRAM
FIELD THEORIES
FLAVOR MODEL
GAUGE INVARIANCE
INTEGRALS
INTERACTIONS
INVARIANCE PRINCIPLES
LEPTONS
MASS
MATHEMATICAL MODELS
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PRODUCTION
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
RENORMALIZATION
STRONG INTERACTIONS