2002/04/14 by Zhi-Gang Wang, Z. G. Wang, Shaolong Wan +1
Mathematics · Physics and Astronomy · #Bottom quark #Chiral symmetry breaking #Color confinement #Constant (computer programming) #Geometry #High-Energy Particle Collisions Research #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quark #Spectral representation #Symmetry (geometry) #Symmetry breaking #Top quark #Top quark condensate #hep-ph
paper · pdf · doi:10.1016/s0370-2693(02)01829-4
published as Phys.Lett.B536:241-249,2002 · 10 pages,3 figures
arxiv created 2002/04/14 · openalex publication_date 2002/06/01 · arxiv updated 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 π decay constant and the quark condensate. The π 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 p2 axial, the absence of Kallen-Lehmann spectral representation obviously precludes the existence of free quarks.