Conditions for renormalizability of quantum flavor dynamics

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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 ... continued below

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Pages: 19

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Frampton, P.H. Creation Date: Unknown.

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Description

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.

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Pages: 19

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Dep. NTIS, PC A02/MF A01.

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  • Report No.: COO-1545-249
  • Grant Number: EY-76-C-02-1545
  • Office of Scientific & Technical Information Report Number: 6460872
  • Archival Resource Key: ark:/67531/metadc1210851

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  • July 5, 2018, 11:11 p.m.

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Frampton, P.H. Conditions for renormalizability of quantum flavor dynamics, report, Date Unknown; United States. (digital.library.unt.edu/ark:/67531/metadc1210851/: accessed December 14, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.