On bosonization in $3$ dimensions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, Latex, omitted references added, typos corrected

Scientific paper

10.1016/0370-2693(96)00224-9

A recently proposed path-integral bosonization scheme for massive fermions in $3$ dimensions is extended by keeping the full momentum-dependence of the one-loop vacuum polarization tensor. This makes it possible to discuss both the massive and massless fermion cases on an equal footing, and moreover the results it yields for massless fermions are consistent with the ones of another, seemingly different, canonical quantization approach to the problem of bosonization for a massless fermionic field in $3$ dimensions.

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