Vacuum Condensates in the Global Color Symmetry Model

Details Vacuum Condensates in the Global Color Symmetry Model Vacuum Condensates in the Global Color Symmetry Model

1999-06-25

arxiv.org/abs/nucl-th/9906078v1

Phys.Rev. C60 (1999) 055208

Physics

Nuclear Physics

Nuclear Theory

8 latex pages, no figure, Submitted to Phys. Rev. C

Scientific paper

10.1103/PhysRevC.60.055208

Based on the quark propagator in the instanton dilute liquid approximation, we calculate analytically the quark condensate $<\bar{q}q>$, the mixed quark gluon condensate $g_{s}<\bar{q}G_{\mu\nu}\sigma^{\mu\nu}q>$ and the four quark condensate $<\bar{q} \Gamma q\bar{q} \Gamma q>$ at the mean field level in the framework of global color symmetry model. The numerical calculation shows that the values of these condensates are compatible with the ranges determined by other nonperturbative approaches. Moreover, we find that for nonlocal four quark condensate the previous vacuum saturation assumption is not a good approximation even at the mean field level.

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