介子圈图传播子重整化有限量的有效计算法(I)

Effective Method to the Renormalized Finite Quantity of the Meson Loop Propagator (I)

采用中性介子与核子(反核子 )相互作用的Lorentz不变耦合模型,对计算“介子单圈图传播子与链图传播子”在动量重整化方案中的“有限量”涉及的通常解析计算方法 (即Feynman高维收敛积分计算方法)作了详尽分析、讨论与研究,发现可以从“大动量积分”计算角度出发建立起一种更为有效与实用的计算方法———“大动量积分极限法”。采用这种有效方法,对介子圈图传播子重整化“有限量”作了具体降维积分计算,获得了这个“有限量”的“一维积分严格解析表达式”。

In the Lorentz Invariable Coupling Model of interaction between pion and nucleon (antinucleon), by applying the complex function integral method, the authors have strictly calculated the one-dimensional integral, which is derived from the great momentum integral limit, of the renormalized finite quantity of one-loop propagator and chain propagator in the momentum renormalization scheme and gained the finally strict analysis result. At the last, they have detailed these numerical results of the renormalized finite quantity, and also done the relevant discussion about these minute radiation corrections.