Squeezed condensate of gluons and $η-η'$ mass difference

Details Squeezed condensate of gluons and $η-η'$ mass difference Squeezed condensate of gluons and $η-η'$ mass difference

1996-09-25

arxiv.org/abs/nucl-th/9609059v3

Phys.Lett. B397 (1997) 129-132

Physics

Nuclear Physics

Nuclear Theory

8 pages, 1 figure included; uses elsart style, psfig style, LaTeX

Scientific paper

10.1016/S0370-2693(97)00165-2

We consider a mechanism to create the $\eta - \eta'$ mass difference by the gluon anomaly in a squeezed vacuum. We find that the mass shift of the $\eta_0$ governing this mass difference is determined by the magnetic part of the gluon condensate. For the squeezed vacuum this magnetic part coincides with the total gluon condensate, so that we get a relation between the gluon condensate and the mass shift of the $\eta_0$ as a function of the strong coupling constant $\alpha_s$. The values of the gluon condensate obtained through this relation are compared with the value by Shifman, Vainshtein and Zakharov and the recent update values by Narison.

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