A New Method And The Calculation Result Of Analytically Calculating The One-Loop Renormalized Vertex Angle In Proton Scattering

Ever since the Quantum Field Theory was established upon the Quantum Mechanics and the Special Theory of Relativity, the Quantum Field Theory has long been the effective calculation theory to describe the interaction between the microscopic high-energy particles. In the Quantum Field Theory, the perturbation order-by-order theory, mature and complete, is still the most effective calculation method. However, in the application of the perturbation order-by-order calculation, the infinity difficulty will emerge in the calculation of the higher order (loop graph), and to deal with this, we need to apply the renormalization method to get rid of the non-physical infinite quantity, yet maintaining the physical finite quantity. As a result, the calculation of the higher-order loop graph becomes very complicated and difficult, with the result that we have no alternative but obtain the renormalization finite quantity through approximative calculation and treatment. As the contribution of the renormalization finite quantity (radiation correction) is generally very small, which is however very important for the in-depth research of physical problems, in the in-depth research of many important physical problems and processes, we need to consider and seek the contribution of the radiation correction of at least the one-loop graph renormalization finite quantity.Applying the Lorentz Constant Coupling Model that describes the strong interaction between P ? P and the neutral mesonπ0, this paper has mainly researched the analytical calculation method of the one-loop graph renormalization vertex angle functionΛC ( p , q) in the"proton-π0"triple-line coupling. In the process of the treatment, the paper started from the vertex angle correction factor of the"one-loop graph"on the"tree graph", applied the method of"momentum normalization", and used the matrix function expansion method to get rid of the non-physical quantity, so as to obtain the analytical formula of the physical finite quantityΛC ( p , q). In the further step, the paper used the"Feynman Triple-parameter Integration Formula","Wick Rotation"and"Great Momentum Integration Limitation", through combination and simplification, expressedΛC ( p , q) with two parts, namely, the"elementary algebra function"and the"transcendental algebra function". WhereasΛC ( p , q) includes the"transcendental algebra function", which can't be strictly analytically calculated, the paper, after taking reasonable treatment of the pole drifting point which occurred in the calculation, brought in the"convergence factor"to get the"transcendental algebra function", which has fine convergence; the paper used the approximative method of"average equivalence"to establish a complete method for the effective analytical calculation ofΛC ( p , q); finally, based on the new method, the paper did concrete theoretical calculation on the"elementary algebra function"and the"transcendental algebra function"respectively, acquired the final analytical calculation result ofΛC ( p , q) and discussed the radiation correction of the vertex angle of the strong coupling. The research achievement will offer valuable experience and reference for the research of the theoretical calculation of the higher-order interaction of particles and the the renormalization effective analytical calculation method in the Lorentz Constant Coupling Model.