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Abstract
The recently discovered bosonization via duality transform can be used in arbitrary space–time dimensions. It is stressed that because of the gauge invariance of the resulting bosonic model for D ≥ 3, the generating functional is not well-defined. This weakness can be eliminated by decomposing the bosonic field into transverse and longitudinal parts and only the transverse part is relevant. In this way the massive Thirring model in (2 + 1) dimensions is bosonized. It is found that the current–current coupling bosonizes into a Maxwell term.
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