Glueball solitons

Abstract

From the effective action of long-range Yang-Mills theory, we derive a classical spherical solution which can be interpreted as a glueball. The field configurations in the gauge we have used describe a system with one unit of color-electric flux crossing any median plane, and thus can be regarded as two gluons bound together. The glueball has $J^P$ ${=0\mathrm{}}^{+}$. Its mass depends on the parameters in a phenomenological potential, and lies in the range of one to four GeV for all choices of those parameters which we have considered.