Dynamical symmetry breaking, confinement with flat-bottom potential

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. Then based on the nonperturbative dressed quark propagator, we calculate the $\pi$ decay constant and the quark condensate. The $\pi$ decay constant is an important parameter in describing the interplay between dynamical symmetry breaking and confinement, while the quark condensate is an order parameter for dynamical chiral symmetry breaking. To implement confinement, we prove that the dressed quark propagator has no poles on the real timelike $p^2$ axial, the absence of Kallen-Lehmann spectral representation obviously precludes the existence of free quarks.

10 pages,3 figures

References in corpus (9)

• Pion mass and decay constant
• The Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD
• A Solution to Coupled Dyson-Schwinger Equations for Gluons and Ghosts in Landau Gauge
• Hadron Physics from the Global Color Model of QCD
• Gluon Propagator in the Infrared Region
• Running Coupling in Non-Perturbative QCD - I. Bare Vertices and y-max Approximation
• QCD in the Infrared with Exact Angular Integrations
• Infrared Behaviour of Propagators and Vertices
• Structure of Vacuum Condensates

Cited by in corpus (7)

• Decay constants of the pseudoscalar mesons in the framework of the coupled Schwinger-Dyson equation and Bethe-Salpeter equation
• Spectra of Free Diquark in the Bethe-Salpeter Approach
• Decay constants of the pion and B mesons with the Bethe-Salpeter equation
• Decay constants of the pseudoscalar charmonium and bottomonium
• Ground state mass spectrum for scalar diquarks with Bethe-Salpeter equation
• Structure and decay constant of the ρmeson with Bethe-Salpeter equation
• On the Consistency of the Ladder Approximation and the Rainbow Approximation of Dyson-Schwinger Equation of QCD