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SO(2,1) conformal anomaly: Beyond contact interactions

Gino N. J. Ananos·Horacio E. Camblong·Carlos R. Ordonez
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Abstract

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.

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Gino N. J. Ananos, Horacio E. Camblong, Carlos R. Ordonez. 2003-07-03. SO(2,1) conformal anomaly: Beyond contact interactions. https://doi.org/10.1103/physrevd.68.025006

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