2003/03/31 by Horacio E. Camblong, Carlos R. Ordonez · 1 citation
Physics and Astronomy · Mathematics · #hep-th #gr-qc #hep-ph #math-ph #math.MP #nucl-th #quant-ph
paper · pdf · doi:10.1103/physrevd.68.125013
published as Phys.Rev. D68 (2003) 125013 · 28 pages. The paper was significantly expanded; the main results and conclusions are unchanged. To be published in Phys. Rev. D
arxiv created 2003/11/17 · arxiv updated 2009/11/30
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.