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

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

2003-03-19

arxiv.org/abs/hep-th/0303166v2

Phys.Rev. D68 (2003) 125013

Physics

High Energy Physics

High Energy Physics - Theory

28 pages. The paper was significantly expanded; the main results and conclusions are unchanged. To be published in Phys. Rev.

Scientific paper

10.1103/PhysRevD.68.125013

A 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.

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