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Anomaly in conformal quantum mechanics:: From molecular physics to black holes -: art. no. 125013

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PHYSICAL REVIEW D
卷 68, 期 12, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.68.125013

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A number of physical systems exhibit a particular form of asymptotic conformal invariance: within a particular domain of distances, they are characterized by a long-range conformal interaction (inverse square potential), the apparent 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.

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