Two-measure approach to breaking scale-invariance in a standard-model extension

Eduardo I. Guendelman, Hitoshi Nishino, Subhash Rajpoot

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We introduce Weyl's scale-invariance as an additional global symmetry in the standard model of electroweak interactions. A natural consequence is the introduction of general relativity coupled to scalar fields à la Dirac, that includes the Higgs doublet and a singlet σ-field required for implementing global scale-invariance. We introduce a mechanism for ‘spontaneous breaking’ of scale-invariance by introducing a coupling of the σ-field to a new metric-independent measure Φ defined in terms of four scalars ϕi (i = 1, 2, 3, 4). Global scale-invariance is regained by combining it with internal diffeomorphism of these four scalars. We show that once the global scale-invariance is broken, the phenomenon (a) generates Newton's gravitational constant GN and (b) triggers spontaneous symmetry breaking in the normal manner resulting in masses for the conventional fermions and bosons. In the absence of fine-tuning the scale at which the scale-symmetry breaks can be of order Planck mass. If right-handed neutrinos are also introduced, their absence at present energy scales is attributed to their mass terms tied to the scale where scale-invariance breaks.

Original languageEnglish
Pages (from-to)251-255
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
StatePublished - 10 Feb 2017


  • General relativity
  • Global scale-invariance
  • Metric-independent measure
  • Standard model

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


Dive into the research topics of 'Two-measure approach to breaking scale-invariance in a standard-model extension'. Together they form a unique fingerprint.

Cite this