Calculation of some properties of the vacuum

Abstract

In this article, we calculate the dressed quark propagator with the flat bottom potential in the framework of the rain-bow Schwinger-Dyson equation, which is determined by mean field approximation of the global colour model lagrangian. The dressed quark propagator exhibits a dynamical symmetry breaking phenomenon and gives a constituent quark mass about 392 MeV, which is close to the value of commonly used constituent quark mass in the chiral quark model. Then based on the dressed quark propagator, we calculate some properties of the vacuum, such as quark condensate, mixed quark condensate $g_s<0|\bar{q}{G}_{\mu \nu }{\sigma }^{\mu \nu }q|0>$, four quark condensate $<0|\bar{q}\Gamma q\bar{q}\Gamma q|0>$, tensor, $\pi$ vacuum susceptibilities. The numerical results are compatible with the values of other theoretical approaches.

10 pages, 2 figures, 3 tables, some writing errors are corrected

References in corpus (9)

• Hadron Physics from the Global Color Model of QCD
• Virtualities of Quarks and Gluons in QCD Vacuum and Nonlocal Condensates within Single Instanton Approximation
• The mixed quark-gluon condensate from an effective quark-quark interaction
• Structure of Vacuum Condensates
• QCD vacuum tensor susceptibility and properties of transversely polarized mesons
• Vacuum Condensates in the Global Color Symmetry Model
• A Note on the QCD Vacuum Tensor Susceptibility
• Hadronic Couplings Via QCD Sum Rules Using Three-Point Functions: Vacuum Susceptibilities
• Vector, Axial, Tensor and Pseudoscalar Vacuum Susceptibilities

Cited by in corpus (9)

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• Spectra of Free Diquark in the Bethe-Salpeter Approach
• Decay constants of the pion and B mesons with the Bethe-Salpeter equation
• Magnetic moment of the pentaquark ${\Theta }^{+}(1540)$ as diquark-diquark-antiquark state with QCD sum rules
• Decay constants of the pseudoscalar charmonium and bottomonium
• Ground state mass spectrum for scalar diquarks with Bethe-Salpeter equation
• Magnetic moment of the pentaquark ${\Theta }^{+}(1540)$ with QCD sum rules
• Magnetic moment of the pentaquark ${\Theta }^{+}(1540)$ with light-cone QCD sum rules
• Structure and decay constant of the ρmeson with Bethe-Salpeter equation