Bosonic color-flavor transformation for the special unitary group

Details Bosonic color-flavor transformation for the special unitary group Bosonic color-flavor transformation for the special unitary group

2004-11-29

arxiv.org/abs/hep-lat/0411038v1

J.Math.Phys. 46 (2005) 072306

Physics

High Energy Physics

High Energy Physics - Lattice

34 pages, 2 figures

Scientific paper

10.1063/1.1951627

We extend Zirnbauer's color-flavor transformation in the bosonic sector to the color group SU(N_c). Because the flavor group U(N_b, N_b) is non-compact, the algebraic method by which the original color-flavor transformation was derived leads to a useful result only for 2N_b \le N_c. Using the character expansion method, we obtain a different form of the transformation in the extended range N_b \le N_c. This result can also be used for the color group U(N_c). 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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