Abstract
We use path integral methods to convert a non-abelian theory of fermions interacting with gauge fields (QCD 2) in (1 + 1) dimensions into an equivalent bose theory. While our results reduce to those obtained by Witten for the special case of a free theory, we show that his bose-fermi operator identification must be modified in the presence of gauge fields. Our methods also reveal potential difficulties in using this operator equivalence even for the free theory. We also introduce the concept of limited bosonization-using a bose theory to reproduce only some of the fermion Green functions-and discuss its consequences.
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