Color-Flavor Transformation for the Special Unitary Group
classification
✦ hep-lat
cond-mathep-th
keywords
transformationcolor-flavorgroupintegralmatricesspecialunitaryallows
read the original 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(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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