Vacuum Condensates in the Global Color Symmetry Model

Abstract

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.

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

References in corpus (9)

• Instantons in QCD
• Dyson-Schwinger Equations and the Application to Hadronic Physics
• Evidence for the Role of Instantons in Hadron Structure from Lattice QCD
• Hadron Physics from the Global Color Model of QCD
• Virtualities of Quarks and Gluons in QCD Vacuum and Nonlocal Condensates within Single Instanton Approximation
• Mixed quark-gluon condensate from instantons
• Direct Instantons in QCD Nucleon Sum Rules
• The mixed quark-gluon condensate from an effective quark-quark interaction
• Structure of Vacuum Condensates

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• Quark Condensates in Nuclear Matter in the Global Color Symmetry Model of QCD
• Nonperturbative Aspect of Axial Vector Vertex in the Global Color Symmetry Model
• Calculation of some properties of the vacuum
• Temperature Dependence of the Effective Bag Constant and the Radius of a Nucleon in the Global Color Symmetry Model of QCD
• Temperature dependence of Quark and Gluon condensate In The Dyson-Schwinger Equations At Finite Temperature
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