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., 2009, Volume 89, Issue 11,Pages <nobr>631

This article is cited 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. Polyakov^ab, A. A. Vladimirov^c

^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.

PACS: 11.10.Gh, 12.38.Lg, 12.39.Fe

Received: 21.04.2009

Language: English