Mass gap in scalar glueball model

On the basis of a nonperturbative scalar model of gluon condensate the model of glueball is considered. Two scalar fields describe quantum fluctuations of gauge potential components belonging to a small subgroup $SU(2) \subset SU(3)$ and a coset $SU(3) / SU(2)$ correspondingly. In this consideration nonperturbative quantum corrections appear. The corrections are connected with a hidden structure of operators of strongly interacting gauge field. A regular solution for two scalar fields is obtained. The solution is a ball filled with quantum fluctuations of SU(3) gauge field. The space distribution of the dispersion of quantum fluctuations of gauge potential is presented.

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