Document Type

Article

Publication Date

12-30-2003

Abstract

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.

Comments

Article published in Physical Review D, 68, pp 125013 (2003).

© 2003 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevD.68.125013

DOI: 10.1103/PhysRevD.68.125013

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