2020/05/31 by Zehao Zhu, Khépani Raya, Lei Chang
Mathematics · Physics and Astronomy · #Complex plane #Computer science #Geometry #High-Energy Particle Collisions Research #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Plane (geometry) #Point (geometry) #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quark #Representation (politics) #Space (punctuation) #Spectral representation #Top quark #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.103.034005
published as Phys. Rev. D 103, 034005 (2021) · 8 pages, 6 figures. It includes a new example with a beyond Rainbow-Ladder truncation
arxiv created 2020/08/15 · openalex publication_date 2021/02/09 · arxiv updated 2021/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a practical procedure to extrapolate the spacelike quark propagator onto the complex plane, which follows the Schlessinger point method and the spectral representation of the propagator. As a feasible example, we employ quark propagators for different flavors, obtained from the solutions of their corresponding Dyson-Schwinger equation (DSE), with different truncations. Thus, the analytical structure of the quark propagator is studied, capitalizing on the current-quark mass dependence of the observed features.