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Note on a sigma model connection with instanton dynamics · Around

2008

Note on a sigma model connection with instanton dynamics

Fariborz, Amir H., Jora, Renata, Schechter, Joseph

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Understand

It is well known that the instanton approach to QCD generates an effective term which looks like a three flavor determinant of quark bilinears.

This has the right behavior to explain the unusual mass and mixing of the $\eta(958)$ meson, as is often simply illustrated with the aid of a linear SU(3) sigma model.
It is less well known that the instanton analysis generates another term which has the same transformation property but does not have a simple interpretation in terms of this usual linear sigma model.
Here we point out that this term has an interpretation in a generalized linear sigma model containing two chiral nonets.

Built on

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Similar

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D. Black, A. H. Fariborz and J. Schechter, Phys. Rev. D 61
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Then

M. Napsuciale and S. Rodriguez, Phys. Rev. D 70
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A.H. Fariborz, R. Jora and J. Schechter, Phys. Rev. D 72
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T. Teshima, I. Kitamura and N. Morisita, J. Phys. G 28
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A.H. Fariborz, R. Jora and J. Schechter, Phys. Rev. D 76
2007
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A.H. Fariborz, R. Jora and J. Schechter, Phys. Rev. D 76
Original
2007
Later among the works it cites.

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See sec. V of D. Black, A.H. Fariborz, S. Moussa, S. Nasri and J. Schechter, Phys. Rev. D 64

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G.’t Hooft, arXiv:hep-th/9903189

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A.H. Fariborz, R. Jora and J. Schechter, arXiv:0707.0843 [hep-ph]. Appendix A of this reference contains some corrections to [ 12 ] above

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A characteristic set of recent references is given in Ref. [ 14 ] above

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See Eq.(196) of [ 8 ] above

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G. ’t Hooft, G. Isidori, L. Maiani, A.D. Polosa and V. Riquer, arXiv:0801.2288[hep-ph]

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N. Yamamoto, M. Tachibana, T. Hatsuda and G. Baym, Phys. Rev. D 76

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