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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2009, Volume 89, Issue 11, Pages 631–635
(Mi jetpl437)
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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
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
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
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https://www.mathnet.ru/eng/jetpl437 https://www.mathnet.ru/eng/jetpl/v89/i11/p631
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Abstract page: | 202 | Full-text PDF : | 67 | References: | 36 |
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