General Nonlocality in Quantum Field

As a sequent study following a previous paper, this paper is dedicated to constructing a theory to determine the nonlocal region of quantum field by geometrical method. The study shows that the theory may also be the candidate of the nonperturbative one. Many symmetric laws are not strictly respected in this theory. Concerning QED and QCD, it is found that while the strength of field ~ B and ~ E satisfy ~ E − ~ B 6= 0, the boson will own mass. Of the most importance, the confinement property of the QCD is closely investigated by analyzing its relation to the nonlocal region, and it turns out that under the ordinary approximation, only when the group SU(3) is extended to U(3), is it possible to explain the strong attraction; additionally, the color potential produced by quarks shows the property like magnetic monopole. As an ab initio theory, the paper can also be considered a self-contained one in the future research.