Abstract
We extend Zirnbauer’s color-flavor transformation in the bosonic sector to the color group SU(Nc). Because the flavor group U(Nb,Nb) is noncompact, the algebraic method by which the original color-flavor transformation was derived leads to a useful result only for 2Nb⩽Nc. Using the character expansion method, we obtain a different form of the transformation in the extended range Nb⩽Nc. This result can also be used for the color group U(Nc). The integrals to which the transformation can be applied are of relevance for the recently proposed boson-induced lattice gauge theory.
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