High Energy Physics - Theory
[Submitted on 25 Feb 2003
(v1)
, last revised 3 Jul 2003 (this version, v2)]
Title: SO(2,1) conformal anomaly: Beyond contact interactions
Title: SO(2,1)共形异常：超越接触相互作用
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.
Submission history
From: Horacio E. Camblong [view email][v1] Tue, 25 Feb 2003 12:46:12 UTC (10 KB)
[v2] Thu, 3 Jul 2003 20:13:01 UTC (10 KB)
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