The BVI model of the quantum-mechanical Yang-Mills theory

The BVI model of the quantum-mechanical Yang-Mills theory (QMFT) is studied at higher order in a Non-perturbative approach. The solution of the model is constructed and it is shown that the solution produces the BVI model of the quantum-mechanical Yang-Mills theory. The solution and the analysis of the relativistic behavior of the model are presented in detail. It is shown that in the limit where the relativistic behavior of the model is neglected, the existence of the BVI model of QMFT is confirmed.