Note on a sigma model connection with instanton dynamics
- Department of Mathematics/Science, State University of New York Institute of Technology, Utica, New York 13504-3050 (United States)
- Department of Physics, Syracuse University, Syracuse, New York 13244-1130 (United States)
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. The second chiral nonet is taken to correspond to mesons having two quarks and two antiquarks in their makeup. The generalized model seems to be useful for learning about the spectrum of low-lying scalar mesons which have been emerging in the last few years. The physics of the new term is shown to be related to the properties of an excited {eta}{sup '} state present in the generalized model and for which there are some experimental candidates.
- OSTI ID:
- 21250110
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 77, Issue 9; Other Information: DOI: 10.1103/PhysRevD.77.094004; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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