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:
2003
Usage 756
Downloads 390
Abstract Views 366
Citations 51
Citation Indexes 51
Repository URL:
https://repository.usfca.edu/phys/6
DOI:
10.1103/physrevd.68.125013
Author(s):
Horacio E. Camblong; Carlos R. Ordóñez
Publisher(s):
American Physical Society (APS)
Tags:
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.