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