Anomaly in conformal quantum mechanics: From molecular physics to black holes
- Citation data:
Physical Review D, ISSN: 0556-2821, Vol: 68, Issue: 12
- Publication Year:
- Horacio E. Camblong
- Physics and Astronomy; Physics
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.