Mass gap in scalar glueball model
Abstract
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) ⊂ 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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