Triple gluon coupling, Adler-Bell-Jackiw anomaly, and polarized deep inelastic scattering

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An unusual effect of triple gluon coupling and the Adler-Bell-Jackiw anomaly on the flavor singlet part of the polaried deep inelastic scattering structure function ..nu..G/sub 1/(Q/sup 2/,x) are discussed. Namely, the x-integral I/sub S/(Q/sup 2/) of this function is Q/sup 2/-independent both in parton model and leading logarithm calculations, but the first order nonleading logarithm calculation produces a term growing like (-lnlnQ/sup 2/), dominating over the parton model contributions at large Q/sup 2/. The detection of this unusual term will amount to an experimental confirmation of the existence of triple gluon coupling and the Adler-Bell-Jackiw anomaly. Technically, this term comes ... continued below

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Pages: 46

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Lam, C.S. & Li, B.A. May 1, 1980.

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An unusual effect of triple gluon coupling and the Adler-Bell-Jackiw anomaly on the flavor singlet part of the polaried deep inelastic scattering structure function ..nu..G/sub 1/(Q/sup 2/,x) are discussed. Namely, the x-integral I/sub S/(Q/sup 2/) of this function is Q/sup 2/-independent both in parton model and leading logarithm calculations, but the first order nonleading logarithm calculation produces a term growing like (-lnlnQ/sup 2/), dominating over the parton model contributions at large Q/sup 2/. The detection of this unusual term will amount to an experimental confirmation of the existence of triple gluon coupling and the Adler-Bell-Jackiw anomaly. Technically, this term comes from a new axial vector gluon operator which is introduced in the Wilson expansion. Other results of this paper include a discussion of mass-sensitive and mass-insensitive structure functions and the derivation of the expression for, and the relations between, some of these structure functions.

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Pages: 46

Notes

NTIS, PC A03/MF A01.

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  • 20. international conference on high energy physics, Madison, WI, USA, 17 Jul 1980

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  • Report No.: SLAC-PUB-2506
  • Report No.: CONF-800724-9
  • Grant Number: AC03-76SF00515
  • Office of Scientific & Technical Information Report Number: 5189298
  • Archival Resource Key: ark:/67531/metadc1054195

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  • May 1, 1980

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  • Jan. 22, 2018, 7:23 a.m.

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  • Feb. 5, 2018, 12:56 p.m.

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Lam, C.S. & Li, B.A. Triple gluon coupling, Adler-Bell-Jackiw anomaly, and polarized deep inelastic scattering, article, May 1, 1980; California. (https://digital.library.unt.edu/ark:/67531/metadc1054195/: accessed March 20, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.