GREEN'S FUNCTION AND ITS APPLICATION TO DETERMINATION OF MASS SPECTRUM IN QFT AND QCD

The increased power of particle accelerators leads to the creation of new and wonderful synthetic hadronic structures, and the interactions and physical interactions between the hadronic bound states are expressed by Hamiltonian equations and relations of system. With regard to different effects of conditions governing the elementary particle and the constructed bound systems, it is essential to investigate the impact of each physical parameter on the collision. The typical interactions between the bound states of particles include Hamiltonian spin-spin, spin-orbital, iso-spin, perturbation, and chaos effect, etc. According to the target hadronic structure, we analyze the equation of state for particles and bound systems through relativistic, non-relativistic and ultra-relativistic relations. Based on the relativistic and non-perturbation of hadronic structures, we will provide a new form of Green's function (functional integral), which plays the important role in solving the Hamiltonian equations of bound state systems, in order to facilitate solving the field equations by expanding the mathematical model of functional integral.

Hamiltonian system; Dirac delta function; linear operator; single-loop diagram.