Document Type

Article

Publication Date

2-28-2003

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.

Comments

Article published in Physical Review D, 67, 045018 (2003).

© 2003 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevD.67.045018

DOI: 10.1103/PhysRevD.67.045018

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