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 TMF, 1988, Volume 74, Number 2, Pages 171–179 (Mi tmf4178)

The $O^-$ nonet and solution of the $U(1)$ problem in a nonperturbative approximation of quantum chromodynamics

M. L. Nekrasov, V. E. Rochev

Abstract: In the model of dynamical breaking of chiral symmetry by the infrared singularities of QCD [1], the nonet of pseudoscalar mesons $(\pi, K, \eta, \eta')$ is described in terms of quasi–Goldstone bosons. The decay constant of the nonet is calculated in the chiral limit. The $U(1)$ problem is solved; the mass of the $\eta'$ meson in the chiral limit and the topological susceptibility are calculated, and the physical masses of the $\eta$ and $\eta'$ mesons are determined together with the pseudoscalar mixing angle by means of chiral perturbation theory.

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English version:
Theoretical and Mathematical Physics, 1988, 74:2, 108–114

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Citation: M. L. Nekrasov, V. E. Rochev, “The $O^-$ nonet and solution of the $U(1)$ problem in a nonperturbative approximation of quantum chromodynamics”, TMF, 74:2 (1988), 171–179; Theoret. and Math. Phys., 74:2 (1988), 108–114

Citation in format AMSBIB
\Bibitem{NekRoc88} \by M.~L.~Nekrasov, V.~E.~Rochev \paper The $\rm O^-$ nonet and~solution of the~$U(1)$ problem in~a~nonperturbative approximation of~quantum chromodynamics \jour TMF \yr 1988 \vol 74 \issue 2 \pages 171--179 \mathnet{http://mi.mathnet.ru/tmf4178} \transl \jour Theoret. and Math. Phys. \yr 1988 \vol 74 \issue 2 \pages 108--114 \crossref{https://doi.org/10.1007/BF01886479} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1988Q165900002} 

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Citing articles on Google Scholar: Russian citations, English citations
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This publication is cited in the following articles:
1. S. I. Kruglov, “Chiral symmetry breaking and the effective action in Abelian chromodynamics”, Theoret. and Math. Phys., 84:3 (1990), 945–952
2. A. I. Davydychev, “Equation for the quark propagator in the infrared region and some properties of its solutions”, Theoret. and Math. Phys., 85:1 (1990), 1048–1055
3. Yu. V. Kharlov, “Quark propagator and spontaneous breaking of chiral symmetry in axial Gauge”, Theoret. and Math. Phys., 90:1 (1992), 42–48
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