Conditions for renormalizability of quantum flavor dynamics
The presence of a new anomaly, in addition to the Adler-Bell-Jackiw (ABJ) anomaly, is hinted at for gauge theories with ..gamma../sub 5/ couplings. The ABJ anomaly is discussed first by translation of variables of a linearly divergent integral, then by dimensional regularization. Using the second method, the general non-Abelian case is considered in the presence of an overlapping divergence. A new anomaly is suggested which is not, in general, canceled 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, and Weinberg) might be nonrenormalizable. Imposition of renormalizability would then imply 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.
- Research Organization:
- Department of Physics, The Ohio State University, Columbus, Ohio 43210
- OSTI ID:
- 5541729
- Journal Information:
- Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 20:12; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIAGRAMS
FERMIONS
FEYNMAN DIAGRAM
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
PERTURBATION THEORY
QUANTUM FIELD THEORY
QUANTUM FLAVORDYNAMICS
RENORMALIZATION
SPACE-TIME
UNITARITY
WARD IDENTITY