Coset space construction for the conformal group. II. Spontaneously broken phase and inverse Higgs phenomenon

TL;DR

This paper develops a method to derive effective theories from spontaneous conformal symmetry breaking, revealing that certain Nambu-Goldstone fields are non-dynamical and providing an alternative perspective on inverse Higgs constraints.

Contribution

It introduces a self-contained approach to analyze conformal symmetry breaking, clarifying the role of Nambu-Goldstone fields and deriving inverse Higgs constraints from first principles.

Findings

Nambu-Goldstone fields for special conformal transformations are non-dynamical.

The method reproduces standard inverse Higgs constraints.

Provides an alternative understanding of inverse Higgs phenomena in conformal groups.

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.