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Leading chiral logarithms for pion form factors to arbitrary number of loops

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Abstract

We develop the method of calculation of the leading chiral (infrared) logarithms to an arbitrary loop order for various form factors of Nambu-Goldstone bosons. The method is illustrated on example of scalar and vector form factors in massless 4D O(N + 1)/O(N) σ-model. The analytical properties of the form factors are derived. The leading chiral (infrared) logarithms are summed up in the large N limit.

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Authors and Affiliations

  1. Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780, Bochum, Germany

    N. A. Kivel, M. V. Polyakov & A. A. Vladimirov

  2. Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg, 188300, Russia

    N. A. Kivel & M. V. Polyakov

  3. Bogoliubov Laboratory of Theoretical Physics, JINR, Dubna, 141980, Russia

    A. A. Vladimirov

Authors
  1. N. A. Kivel
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  2. M. V. Polyakov
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  3. A. A. Vladimirov
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Kivel, N.A., Polyakov, M.V. & Vladimirov, A.A. Leading chiral logarithms for pion form factors to arbitrary number of loops. Jetp Lett. 89, 529–534 (2009). https://doi.org/10.1134/S0021364009110022

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  • DOI: https://doi.org/10.1134/S0021364009110022

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