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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2009, Volume 89, Issue 11, Pages 631–635 (Mi jetpl437)  

This article is cited in 14 scientific papers (total in 14 papers)

FIELDS, PARTICLES, AND NUCLEI

Leading Chiral Logarithms for Pion Form Factors to Arbitrary Number of Loops

N. A. Kivel'ab, M. V. Polyakovab, A. A. Vladimirovc

a Petersburg Nuclear Physics Institute
b Institute für Theoretical Physics II, Ruhr-Universität Bochum, D--44780 Bochum, Germany
c Bogolubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Russia
References:
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 $O(N+1)/O(N)$ $\sigma$-model. The analytical properties of the form factors are derived. The leading chiral (infrared) logarithms are summed up in the large $N$ limit.
Received: 21.04.2009
English version:
Journal of Experimental and Theoretical Physics Letters, 2009, Volume 89, Issue 11, Pages 529–534
DOI: https://doi.org/10.1134/S0021364009110022
Bibliographic databases:
Document Type: Article
PACS: 11.10.Gh, 12.38.Lg, 12.39.Fe
Language: English
Citation: N. A. Kivel', M. V. Polyakov, A. A. Vladimirov, “Leading Chiral Logarithms for Pion Form Factors to Arbitrary Number of Loops”, Pis'ma v Zh. Èksper. Teoret. Fiz., 89:11 (2009), 631–635; JETP Letters, 89:11 (2009), 529–534
Citation in format AMSBIB
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\paper Leading Chiral Logarithms for Pion Form Factors to Arbitrary Number of Loops
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2009
\vol 89
\issue 11
\pages 631--635
\mathnet{http://mi.mathnet.ru/jetpl437}
\transl
\jour JETP Letters
\yr 2009
\vol 89
\issue 11
\pages 529--534
\crossref{https://doi.org/10.1134/S0021364009110022}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70349437380}
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  • https://www.mathnet.ru/eng/jetpl437
  • https://www.mathnet.ru/eng/jetpl/v89/i11/p631
  • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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