SO(2,1) conformal anomaly: Beyond contact interactions
High Energy Physics - Theory
2007-05-23 v2 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Nuclear Theory
Quantum Physics
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.
Cite
@article{arxiv.hep-th/0302197,
title = {SO(2,1) conformal anomaly: Beyond contact interactions},
author = {Gino N. J. Ananos and Horacio E. Camblong and Carlos R. Ordonez},
journal= {arXiv preprint arXiv:hep-th/0302197},
year = {2007}
}
Comments
11 pages. A few typos corrected in the final version