Color-Flavor Transformation for the Special Unitary Group
Abstract
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(Nc) color matrices to be transformed into an integral over flavor matrices which parameterize the coset space U(2Nf)/U(Nf)xU(Nf). Integrals of the type considered appear, for example, in the partition function of lattice gauge theory.
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