Abstract
A q-deformed free scalar relativistic particle is ħ-quantized in the framework of the BRST scheme. The q-deformed local gauge symmetry of the first-order Lagrangian has been exploited for the BRST quantization of this system on a GL q(2) invariant quantum world line. The solutions for the equations of motion respect GL q(2) invariance on the mass-shell at any arbitrary value of the evolution parameter characterizing the quantum world line. The deformation parameter q can only be ±1 due to the conservation of the q-deformed BRST charge on an arbitrary (unconstrained) manifold and the requirement of the validity of the BRST algebra.
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