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Spherical shells of a classical gauge field and their topological charge as a perturbative expansion

Spherical shells of a classical gauge field and their topological charge as a perturbative expansion

We consider the classical equations of motion of SU(2) gauge theory, without a Higgs field, in Minkowski space. We work in the spherical ansatz and develop a perturbative expansion in the coupling constant g for solutions which in the far past look like freely propagating spherical shells. The topological charge …