Abstract
A necessary condition for spontaneously broken dilatational and conformal symmetry is that the length dimension of the field is different from zero. If we consider the opposite situation in which a chargelike symmetry is broken in the framework of full conformal invariance, we obtain a massive Goldstone mode, which couples conformal-invariantly to , and which we therefore identify with the or . The corresponding local field theory is defined in a five-dimensional space. In (the conformal compactification of) Minkowski space the Goldstone situation cannot arise.
- Received 14 September 1970
DOI:https://doi.org/10.1103/PhysRevD.3.2530
©1971 American Physical Society