2003/02/28 by Gino N. J. Ananos, Horacio E. Camblong, Carlos R. Ordonez · 1 citation
Physics and Astronomy · Mathematics · #hep-th #hep-ph #math-ph #math.MP #nucl-th #quant-ph
paper · pdf · doi:10.1103/physrevd.68.025006
published as Phys.Rev. D68 (2003) 025006 · 11 pages. A few typos corrected in the final version
arxiv created 2003/07/03 · arxiv updated 2009/11/30
The existence of anomalous symmetry-breaking solutions of the SO(2,1) commutator algebra is explicitly extended beyond the case of scale-invariant contact interactions. In particular, the failure of the conservation laws of the dilation and special conformal charges is displayed for the two-dimensional inverse square potential. As a consequence, this anomaly appears to be a generic feature of conformal quantum mechanics and not merely an artifact of contact interactions. Moreover, a renormalization procedure traces the emergence of this conformal anomaly to the ultraviolet sector of the theory, within which lies the apparent singularity.