Instanton corrections to the quark form factor at large momentum transfer

Alexander E. Dorokhov and Igor O. Cherednikov
Phys. Rev. D 67, 114017 – Published 20 June 2003
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Abstract

Within the Wilson integral formalism, we discuss the structure of nonperturbative corrections to the quark form factor at large momentum transfer analyzing the infrared renormalon and instanton effects. We show that the nonperturbative effects determine the initial value for the perturbative evolution of the quark form factor and attribute their general structure to the renormalon ambiguities of the perturbative series. It is demonstrated that the instanton contributions result in the finite renormalization of the next-to-leading perturbative result and numerically are characterized by a small factor reflecting the diluteness of the QCD vacuum within the instanton liquid model.

  • Received 4 March 2003

DOI:https://doi.org/10.1103/PhysRevD.67.114017

©2003 American Physical Society

Authors & Affiliations

Alexander E. Dorokhov* and Igor O. Cherednikov

  • Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia

  • *Electronic address: dorokhov@thsun1.jinr.ru
  • Also at: Institute for Theoretical Problems of Microphysics, Moscow State University, 119899 Moscow, Russia; electronic address: igorch@thsun1.jinr.ru

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Issue

Vol. 67, Iss. 11 — 1 June 2003

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