Document Type

Article

Publication Date

7-3-2003

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.

Comments

Article published in Physical Review D, 58, 025006 (2003).

© 2003 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevD.68.025006

DOI: 10.1103/PhysRevD.68.025006

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