ar X iv : h ep - t h / 95 03 02 5 v 1 4 M ar 1 99 5 QUANTIZATION OF A q - DEFORMED FREE RELATIVISTIC PARTICLE
نویسنده
چکیده
A q-deformed free scalar relativistic particle is discussed in the framework of the BRST formalism. The q-deformed local gauge symmetry and reparametrization invariance of the first-order Lagrangian have been exploited for the BRST quantization of this system on a GL q (2) invariant quantum world-line. The on-shell equivalence of these BRST charges requires the deformation parameter to be ±1 under certain identifications.The same restriction (q = ±1) emerges from the conservation of the q-deformed BRST charge on an arbitrary (unconstrained) manifold and the validity of the BRST algebra. 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.
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