Color-Flavor Transformation for the Special Unitary Group

Details Color-Flavor Transformation for the Special Unitary Group Color-Flavor Transformation for the Special Unitary Group

2001-11-21

arxiv.org/abs/hep-lat/0111039v2

Nucl.Phys. B632 (2002) 155-172

Physics

High Energy Physics

High Energy Physics - Lattice

19 pages, 2 figures; typos fixed, normalization corrected, some arguments improved, appendix with special cases added; version

Scientific paper

10.1016/S0550-3213(02)00215-8

We extend Zirnbauer's color-flavor transformation in the fermionic sector to the case of the special unitary group. The transformation allows a certain integral over SU(N_c) color matrices to be transformed into an integral over flavor matrices which parameterize the coset space U(2N_f)/U(N_f)xU(N_f). Integrals of the type considered appear, for example, in the partition function of lattice gauge theory.

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