The Schwinger Model and the Physical Projector: a Nonperturbative Quantization without Gauge Fixing

Physics – High Energy Physics – High Energy Physics - Theory

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To appear in the Proceedings of the Second International Workshop on Contemporary Problems in Mathematical Physics, Cotonou, R

Scientific paper

Based on the physical projector approach, a nonpertubative quantization of the massless Schwinger model is considered which does not require any gauge fixing. The spectrum of physical states, readily identified following a diagonalization of the operator algebra, is that of a massive pseudoscalar field, namely the electric field having acquired a mass proportional to the gauge coupling constant. The physical spectrum need not be identified with confined bound fermion-antifermion pairs, an interpretation which one is otherwise led to given whatever gauge fixing procedure but which is not void of gauge fixing artefacts.

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