中文摘要：

采用中性介子π^0与核子N-反核子（-N）强作用Lorentz不变耦合模型,对模型中两类Feynman传播子--π^0和N-N^-传播子,在其内部出现一般圈图相互作用进行具体归类与研究,获得π^0和N-N^-重整化传播子完全函数形式△F,c^（完全）（k^2）和SF,c^（完全）（p）的构成方式.进而可采用“链图求和逼近”对△F,c^（完全）（k^2）和SF,c^（完全）（p）构成方式作一般链图归类与求和处理,获得ΔF,c^（完全）（k^2）和SF,c^（完全）（p）的“链图求和逼近”一般表示和同阶等效表示.研究结果,对探讨“Dyson重整化理论猜想”,从而解决半个世纪以来量子场论重大基础理论问题,提供某些借鉴与参考之处--有可能是研究“Dyson重整化理论猜想”的某个有效突破口.

英文摘要：

In the lorentz invariant coupling model of strong interaction between neutral meson π^0 and nucleon N- antinucleon N^-. Two kinds of the Feynman propagators including π^0 and N - N^- are classified and researched ,which have the general loop graph interaction in the inner parts. The autrors have obtained the constituent method of π^0 and N - N^- renormalized propagator complete function formal -ΔF,c^（complete）（k^2） and SF,c^（complete）（p） . After classifying and summing the constituent mode of ΔF,c^（complete） （k^2） and SF,c^ （complete） （p） according to the general chain graph using the chain graph summation approaching, the general expression and the same order equivalent expression of ΔF,c^（complete）（k^2）and SF,c^（complete）（p） are gotten. This result can be reference for researching the Dyson Supposition on Renormalization Theory, which is the important foundation theory problem of quantum field perturbation theory puzzling people recently fifty years. Maybe the result is a sally port the Dyson Supposition on Renormalization Theory.