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Nucleon matrix elements of higher-twist operators from the instanton vacuum

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arxiv hep-ph/9707515 v1 pith:UJZM4EYW submitted 1997-07-30 hep-ph

J. Balla , M.V. Polyakov , C. Weiss This is my paper
classification hep-ph
keywords elementsmatrixoperatorseffectiveinstantonnucleonpowerchiral
verification ladder T0 review T1 audit T2 compute T3 formal
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We compute the nucleon matrix elements of QCD operators of twist 3 and 4 in the instanton vacuum. We consider the operators determining 1/Q^2-power corrections to the Bjorken, Ellis-Jaffe and Gross-Llewellyn-Smith sum rules. The nucleon is described as a soliton of the effective chiral theory derived from instantons in the 1/N_c-expansion. QCD operators involving the gluon field are systematically represented by effective operators in the effective chiral theory. We find that twist-3 matrix elements are suppressed relative to twist-4 by a power of the packing fraction of the instanton medium. Numerical results for the spin-dependent (d^(2), f^(2)) and spin-independent twist-3 and 4 matrix elements are compared with results of other approaches and with experimental estimates of power corrections. The methods developed can be used to evaluate a wide range of matrix elements relevant to DIS.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Heavy mesons from the QCD instanton vacuum beyond the static limit

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    Computes f_B, residual mass Λ, kinetic matrix element λ1, and Isgur-Wise slope in instanton vacuum with finite-mass heavy-light vertex calibrated to B data.

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    Derives the NLO (1/Nc) chiral-odd GPDs in the pion mean-field picture, proves polynomiality and sum rules, and gives gradient-expansion estimates partially matching lattice QCD.

  3. Quark orbital angular momentum as a chiral magnetic effect

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    The calculation yields a large negative orbital angular momentum L_{u-d} from chiral magnetic effects that partially cancels the positive spin contribution and reduces total J_{u-d} to match lattice QCD.

  4. Applications of the WW-type approximation to SIDIS

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    Applies the WW-type approximation to relate TMDs and FFs and approximate the complete SIDIS cross-section up to power-suppressed terms.

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