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Conformal invariance and pion wave functions of nonleading twist

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Zeitschrift für Physik C Particles and Fields

Abstract

The restrictions are studied for the general structure of pion wave functions of twist 3 and twist 4 imposed by the conformal symmetry and the equations of motion. A systematic expansion of wave functions in the conformal spin is built and the first order corrections to asymptotic formulae are calculated by the QCD sum rule method. In particular, we have found a multiplicatively renormalizable contribution into the two-particle wave function of twist 4 which cannot be expanded in a finite set of Gegenbauer polynonials.

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Authors and Affiliations

  1. Leningrad Nuclear Physics Institute Gatchina, SU-188350, Leningrad, USSR

    V. M. Braun & I. B. Filyanov

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  1. V. M. Braun
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  2. I. B. Filyanov
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Braun, V.M., Filyanov, I.B. Conformal invariance and pion wave functions of nonleading twist. Z. Phys. C - Particles and Fields 48, 239–247 (1990). https://doi.org/10.1007/BF01554472

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