Flavor-singlet axial charge of the nucleon and anomalous Ward identity

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Abstract

A Goldberger-Treiman relation is derived for the flavor singlet g0A using the same approach which resolves the U(1) problem. We show that there are two components which are identified as the valence quark and vacuum-polarization contributions. They also reflect the two different ways that an η' couples to the nucleon. It is shown that the relation has the expected chiral, non-relativistic, and large Nc limits.

Original languageEnglish
Pages (from-to)141-147
Number of pages7
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume281
Issue number1-2
DOIs
StatePublished - May 7 1992

Bibliographical note

Funding Information:
This work is partially supported by the US DOE grant No. DE-FG05-84ER40154 and the Alexander von Humboldt Foundation of Germany. The author would like to acknowledge the hospitality he received at HLRZ, Jiilich, where this research was carried out. He would also like to thank T. Hatsuda, Y.G. Liang, M. Rho, G. Schierholz, and especially G. Veneziano and J.C. Vink for stimulating discussions.

Funding

This work is partially supported by the US DOE grant No. DE-FG05-84ER40154 and the Alexander von Humboldt Foundation of Germany. The author would like to acknowledge the hospitality he received at HLRZ, Jiilich, where this research was carried out. He would also like to thank T. Hatsuda, Y.G. Liang, M. Rho, G. Schierholz, and especially G. Veneziano and J.C. Vink for stimulating discussions.

FundersFunder number
Michigan State University-U.S. Department of Energy (MSU-DOE) Plant Research Laboratory

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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