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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2011, Volume 94, Issue 10, Pages 791–795
(Mi jetpl2381)
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This article is cited in 10 scientific papers (total in 10 papers)
FIELDS, PARTICLES, AND NUCLEI
Quark-hadron duality, axial anomaly and mixing
Y. Klopota, A. G. Oganesyanb, O. V. Teryaeva a Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics
b Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center), Moscow
Abstract:
Interplay between axial anomaly and quark-hadron duality in the
presence of strong mixing is considered. The anomaly sum rule for meson
transition form factors based on the dispersive representation of axial
anomaly and quark-hadron duality in octet channel is analyzed. The
comparison of this sum rule to the experimental data on $\eta$- and
$\eta'$-mesons transition form factors shows that the interval of duality in
this channel is rather small, contradicting the usual understanding of
quark-hadron duality. The same values of interval of duality are supported by
considering the two-point correlator in the local duality limit. This
contradiction may be resolved by introducing of some nonperturbative non-OPE
correction to the relevant spectral density. The form and value of this
correction are discussed.
Received: 04.10.2011
Citation:
Y. Klopot, A. G. Oganesyan, O. V. Teryaev, “Quark-hadron duality, axial anomaly and mixing”, Pis'ma v Zh. Èksper. Teoret. Fiz., 94:10 (2011), 791–795; JETP Letters, 94:10 (2011), 729–733
Linking options:
https://www.mathnet.ru/eng/jetpl2381 https://www.mathnet.ru/eng/jetpl/v94/i10/p791
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Abstract page: | 233 | Full-text PDF : | 66 | References: | 50 |
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