Conformal symmetry based relation between Bjorken and Ellis-Jaffe sum rules

Kataev, A. L.

doi:10.3204/DESY-PROC-2012-02/315

Contribution to a conference proceedings/Internal Report

PUBDB-2016-00977

Conformal symmetry based relation between Bjorken and Ellis-Jaffe sum rules

Kataev, A. L. (Corresponding author)

2012
Deutsches Elektronen-Synchrotron, DESY Hamburg

20th International Workshop on Deep-Inelastic Scattering and Related Subjects, DIS 2012, Bonn, Germany, 26 Mar 2012 - 30 Mar 2012 Hamburg : Deutsches Elektronen-Synchrotron, DESY 987-992 (2012) [10.3204/DESY-PROC-2012-02/315]

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Report No.: arXiv:1207.1808

Abstract: The identity between expressions for the coefficient functions of the Bjorken and Ellis-Jaffe sum rules is derived in the conformal invariant limit of massless U(1) theory, namely in the perturbative quenched QED model, and in the same limit of the massless $SU(N_c)$ gauge theory with fermions. The derivation is based on the comparison of results of application of the operator product expansion approach to the dressed triangle Green functions of singlet Axial vector- Vector-Vector and non-singlet Axial vector-Vector-Vector fermion currents in the limit, when the conformal symmetry is not violated. The expressions for the $O(\alpha_s^3)$ approximation of the non-singlet coefficient function, derived in the conformal invariant limit of $SU(N_c)$ group, is reminded. Its possible application in the phenomenological analysis of the experimental data for the Bjorken polarized sum rule is outlined.

Keyword(s): invariance: conformal ; symmetry: conformal ; sum rule: Ellis-Jaffe ; quantum electrodynamics: model ; Bjorken ; axial ; operator product expansion ; gauge field theory ; condensed matter ; technicolor ; holography ; quenching ; singlet ; U(1)