Confinement of the Field Angular Momentum

Abstract

It is shown that the quantum SU(3) gauge theory can be approximately reduced to U(1) gauge theory with broken gauge symmetry and interacting with scalar fields. The scalar fields are some approximation for 2 and 4-points Green's functions of $A^{1, ..., 7}_μ$ gauge potential components. Remaining gauge potential component $A^8_μ$ is the potential for U(1) Abelian gauge theory. It is shown that reduced field equations have a regular solution. The solution presents a quantum bag in which $A^8_μ$ color electromagnetic field is confined. This field produces a field angular momentum which can be equal to $\hbar$. It is supposed that the obtained solution can be considered as a model of glueball with spin $\hbar$. In this model the glueball has an asymmetry. The same asymmetry can have the nucleon that may be measured experimentally.