Anomalous Commutator Algebra for Conformal Quantum Mechanics
High Energy Physics - Theory
2007-05-23 v3 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Quantum Physics
Abstract
The structure of the commutator algebra for conformal quantum mechanics is considered. Specifically, it is shown that the emergence of a dimensional scale by renormalization implies the existence of an anomaly or quantum-mechanical symmetry breaking, which is explicitly displayed at the level of the generators of the SO(2,1) conformal group. Correspondingly, the associated breakdown of the conservation of the dilation and special conformal charges is derived.
Cite
@article{arxiv.hep-th/0205191,
title = {Anomalous Commutator Algebra for Conformal Quantum Mechanics},
author = {Gino N. J. Ananos and Horacio E. Camblong and Carlos Gorrichategui and Ernesto Hernadez and Carlos R. Ordonez},
journal= {arXiv preprint arXiv:hep-th/0205191},
year = {2007}
}
Comments
23 pages. A few typos corrected in the final version (which agrees with the published Phys. Rev. D article)