Title: Coset space construction for the conformal group. II. Spontaneously broken phase and inverse Higgs phenomenon,
Abstract: A self-contained method of obtaining effective theories resulting from the
spontaneous breakdown of conformal invariance is developed. It allows to
demonstrate that the Nambu-Goldstone fields for special conformal
transformations always represent non-dynamical degrees of freedom. The standard
approach to the same question, which includes the imposition of the inverse
Higgs constraints, is shown to follow from the developed technique. This
provides an alternative view on the nature of the inverse Higgs constraints for
the conformal group.