Nonlocal Four-Quark Condensate and Vacuum Susceptibilities

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Communications in Theoretical Physics ›› 2000, Vol. 33 ›› Issue (4) : 687-690.

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Nonlocal Four-Quark Condensate and Vacuum Susceptibilities

ZONG HongShi^1,2, LÜ XiaoFu^2,3, ZHAO EnGuang², WANG Fan¹

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Abstract

Based on the quark propagator in the instanton dilute liquid approximation, we have determined the nonlocal four-quark condensate at the mean-field level in the framework of global color symmetry model. By making use of this formula, the vacuum susceptibility (pionsusceptibility) was calculated in this paper. The theoretical analysis and numerical calculation show that even at the mean-field level the naive vacuum saturation approximation is not a good approximation when we consider nonlocal four-quark condensate.

Key words

instanton dilute liquid approximation / global colour symmetry model / vacuum saturation approximation / vacuum susceptibilities

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ZONG HongShi, LÜ XiaoFu, ZHAO EnGuang, WANG Fan. Nonlocal Four-Quark Condensate and Vacuum Susceptibilities[J]. Communications in Theoretical Physics, 2000, 33(4): 687-690

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