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- Publisher
- American Physical Society (APS)
- Copyright
- Copyright © 1976 The American Physical Society
- ISSN
- 1089-4918
- DOI
- 10.1103/PhysRevD.14.955
- Publisher site
- See Article on Publisher Site
Abstract
The equal-time commutator algebra of the broken conformal group is studied when spontaneous breakdown of conformal invariance occurs. The nonsymmetric terms in the algebra are characterized by field-current-type identities for the divergence of the dilatation current and the dilaton field. As a consequence of this result, the generators of the group can always be redefined in such a way as to satisfy the closed Lie algebra associated with conformal invariance. The resulting expressions are interpreted on the Lagrangian level by studying the effect of a field redefinition on the dilatation current when this is only partially conserved. Our discussion is mostly classical since it neglects the existence of the anomalies. With these limitations the results are illustrated by explicit calculations for several model Lagrangians.
Journal
Physical Review D – American Physical Society (APS)
Published: Aug 15, 1976