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( N c ) color matrices to be transformed into an integral over flavor matrices which parameterize the coset space U(2 N f )/U( N f )×U( N f ). Integrals of the type considered appear, for example, in the partition function of lattice gauge theory.