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

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Physical Review D, ISSN: 0556-2821, Vol: 68, Issue: 12

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Horacio E. Camblong; Carlos R. Ordóñez
American Physical Society (APS)
Physics and Astronomy; Physics
article description
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. © 2003 The American Physical Society.