Scalar model of the glueball

Abstract

A scalar model of the glueball is offered. The model is based on the nonperturbative calculation of 2 and 4-points Green's functions. Approximately they can be expressed via a scalar field. On the basis of the SU(3) Yang-Mills Lagrangian an effective Lagrangian for the scalar field is derived. The corresponding field equations are solved for the spherically symmetric case. The obtained solution is interpreted as a bubble of the SU(3) quantized gauge field.

Comments: two typos are corrected