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

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

2003-02-25

arxiv.org/abs/hep-th/0302197v2

Phys.Rev. D68 (2003) 025006

Physics

High Energy Physics

High Energy Physics - Theory

11 pages. A few typos corrected in the final version

Scientific paper

10.1103/PhysRevD.68.025006

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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