SO(2,1) conformal anomaly: Beyond contact interactions

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dc.creatorAnanos, Gino N. J.
dc.creatorCamblong, Horacio E.
dc.creatorOrdonez, Carlos R.
dc.date2003-02-25
dc.date2003-07-03
dc.date.accessioned2026-07-07T04:14:55Z
dc.date.available2026-07-07T04:14:55Z
dc.descriptionThe 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.
dc.description11 pages. A few typos corrected in the final version
dc.identifierhttps://arxiv.org/abs/hep-th/0302197
dc.identifierhttp://arxiv.org/abs/hep-th/0302197
dc.identifierPhys.Rev. D68 (2003) 025006
dc.identifierdoi:10.1103/PhysRevD.68.025006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51815
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectMathematical Physics
dc.subjectNuclear Theory
dc.subjectQuantum Physics
dc.titleSO(2,1) conformal anomaly: Beyond contact interactions
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