Abstract

The ground state in an SU(2) Yang–Mills theory using a constant nonabelian background field is studied taking into account the gluon and quark one-loop corrections to the classical energy density. The calculated energy density is found to be lower than that of the perturbative vacuum. The local minimum of the energy density is used to calculate the vacuum expectation value of the gluon condensate and the bag constant, which is found to be in reasonable agreement with the known estimates. The stability of this approximation is briefly discussed.

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