Abstract

Starting from a Schrödinger-like formulation of the equation of motion for the wave functional describing the state of the system in an SU(2) Yang-Mills theory, we obtain the solutions to this equation in lowest order WKB approximation in the classically allowed and forbidden regions. We then consider vacuum tunneling and investigate the behaviour of the wave functional corresponding to the θ-vacuum and of the potential along pseudoparticle paths carrying winding number two. We also give a general formula for the potential density along the pseudoparticle trajectories of 't Hooft for arbitrary winding numbers.

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