Abstract
The gauge field theory of the quantum group SUq(2) is formulated. The parallelism to the case of SU(2) is maintained with the help of the definition of the SUq(2) gauge transformations preserving some group-like properties, the differential calculus on SUq(2) developed by Woronowicz, and the q-deformed trace. The Lagrangian invariant under local SUq(2) transformations is obtained.

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