SU_q(n) Gauge Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, Latex. The abstract and introduction have been hyped up to indicate more clearly what parts are refreshed by this qu

Scientific paper

10.1016/0370-2693(96)00211-0

A field theory with local transformations belonging to the quantum group SU_q(n) is defined on a classical spacetime, with gauge potentials belonging to a quantum Lie algebra. Gauge transformations are defined for the potentials which lead to the appropriate quantum-group transformations for field strengths and covariant derivatives, defined for all elements of SU_q(n) by means of the adjoint action. This guarantees a non-trivial deformation. Gauge-invariant commutation relations are identified.

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