Anomaly in conformal quantum mechanics: From molecular physics to black holes

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dc.creatorCamblong, Horacio E.
dc.creatorOrdonez, Carlos R.
dc.date2003-03-19
dc.date2003-11-17
dc.date.accessioned2026-07-07T04:15:00Z
dc.date.available2026-07-07T04:15:00Z
dc.descriptionA number of physical systems exhibit a particular form of asymptotic conformal invariance: within a particular range of distances, they are characterized by a long-range conformal interaction (inverse square potential), the absence of dimensional scales, and an SO(2,1) symmetry algebra. Examples from molecular physics to black holes are provided and discussed within a unified treatment. When such systems are physically realized in the appropriate strong-coupling regime,the occurrence of quantum symmetry breaking is possible. This anomaly is revealed by the failure of the symmetry generators to close the algebra in a manner shown to be independent of the renormalization procedure.
dc.description28 pages. The paper was significantly expanded; the main results and conclusions are unchanged. To be published in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/hep-th/0303166
dc.identifierhttp://arxiv.org/abs/hep-th/0303166
dc.identifierPhys.Rev. D68 (2003) 125013
dc.identifierdoi:10.1103/PhysRevD.68.125013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51853
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectMathematical Physics
dc.subjectNuclear Theory
dc.subjectQuantum Physics
dc.titleAnomaly in conformal quantum mechanics: From molecular physics to black holes
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